Introduction for equations with variables on both sides calculator:
Equation with variable are the important part of algebra, generally the equation with same variable are said to be equation with variables on both sides. Fro example x+2x+4 = x+8 here x is the variable in this equation we need to find the value of variable using calculator. In this article we will discuss about equation with variables on both sides calculator with suitable example problem.
Problem on Equations with Variables on both Sides Calculator:
Simplify the following equations with variables on both sides calculator
Problem(i) : The equation is 2x+4 = 4x+6+8.
Solution
The given equation is 2x+4 = 4x+6+8.
Step 1: In this given equation collect the variable
2x-4x+4 = 6+8
Step2: Collecting the constant
2x-4x+4 = 14
2x-4x = 14-4.
Step 3: simplifying the equation
-2x = 10
Step 4: Dividing both sides by -2
`(-2x)/-2` =`10/-2`
x= -5
Step 5: The variable of x is -5.
Problem(ii) : The equation is 3x= 4x+6+1.
Solution
The given equation is 3x = 4x+6+1.
Step 1: In this given equation collect the variable
3x-4x = 6+1
Step 2: Collecting the constant
3x-4x = 7
3x-4x = 7.
Step 3: simplifying the equation
-x = 7
Step 4: The variable of x is -7.
Problem on Equations with Variables on both Sides Calculator:
Simplify the following equations with variables on both sides calculator
Problem (i) The equation is -5x+7+8 = -9x +15+10
Solution
The given equation is -5x+7+8 = -9x +15+10
Step 1: In this given equation collect the variable
-5x+9x+15 = 15+10
Step2: Collecting the constant
-5x+9x+15 = 25
-5x+9x = 25-15.
Step 3: simplifying the equation
4x = 10
Step 4: Dividing both sides by 4
`(4x)/4` = `10/4`
x = `5/2`
Step 5: The variable of x is `5/2` .
Problem (ii) The equation is -2x+7+13 = 4x +14
Solution
The given equation is -2x+7+13 = 4x +14
Step 1: In this given equation collect the variable
-2x-4x+7+13 = 14
Step2: Collecting the constant
-2x-4x+20 = 14
-6x = 14-20
Step 3: simplifying the equation
-6x = -6
Step 4: Dividing both sides by -6
`(-6x)/-6` =`(-6)/(-6)`
x = 1
Step 5: The variable of x is 1.
Equation with variable are the important part of algebra, generally the equation with same variable are said to be equation with variables on both sides. Fro example x+2x+4 = x+8 here x is the variable in this equation we need to find the value of variable using calculator. In this article we will discuss about equation with variables on both sides calculator with suitable example problem.
Problem on Equations with Variables on both Sides Calculator:
Simplify the following equations with variables on both sides calculator
Problem(i) : The equation is 2x+4 = 4x+6+8.
Solution
The given equation is 2x+4 = 4x+6+8.
Step 1: In this given equation collect the variable
2x-4x+4 = 6+8
Step2: Collecting the constant
2x-4x+4 = 14
2x-4x = 14-4.
Step 3: simplifying the equation
-2x = 10
Step 4: Dividing both sides by -2
`(-2x)/-2` =`10/-2`
x= -5
Step 5: The variable of x is -5.
Problem(ii) : The equation is 3x= 4x+6+1.
Solution
The given equation is 3x = 4x+6+1.
Step 1: In this given equation collect the variable
3x-4x = 6+1
Step 2: Collecting the constant
3x-4x = 7
3x-4x = 7.
Step 3: simplifying the equation
-x = 7
Step 4: The variable of x is -7.
Problem on Equations with Variables on both Sides Calculator:
Simplify the following equations with variables on both sides calculator
Problem (i) The equation is -5x+7+8 = -9x +15+10
Solution
The given equation is -5x+7+8 = -9x +15+10
Step 1: In this given equation collect the variable
-5x+9x+15 = 15+10
Step2: Collecting the constant
-5x+9x+15 = 25
-5x+9x = 25-15.
Step 3: simplifying the equation
4x = 10
Step 4: Dividing both sides by 4
`(4x)/4` = `10/4`
x = `5/2`
Step 5: The variable of x is `5/2` .
Problem (ii) The equation is -2x+7+13 = 4x +14
Solution
The given equation is -2x+7+13 = 4x +14
Step 1: In this given equation collect the variable
-2x-4x+7+13 = 14
Step2: Collecting the constant
-2x-4x+20 = 14
-6x = 14-20
Step 3: simplifying the equation
-6x = -6
Step 4: Dividing both sides by -6
`(-6x)/-6` =`(-6)/(-6)`
x = 1
Step 5: The variable of x is 1.