Solving Equations with a Variable on Both Sides - Concept

Concept Concept (1)

In order to figure out where to start when solving equations with a variable on both sides of the equals sign, we will need some useful methods and practice. There are many methods we use to solve for the variable when it appears in more than one place. Students need to know how to combine like terms and will need the skills acquired with practice solving multi-step equations.

Sample Sample Problems (4)

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Solving Equations with a Variable on Both Sides - Problem 1

Solve for m.

2(m − 4) = 5m + 7
Problem 1
How to solve equations with the same variable on both sides when the numbers are all whole.
Solving Equations with a Variable on Both Sides - Problem 2

Solve for x.

½(x − 8) = -2 − 5 x
2
Problem 2
How to solve equations with the same variable on both sides when the numbers include fractions.
Solving Equations with a Variable on Both Sides - Problem 3

Solve for x.

3(x − 2) + 4 = 2x + 6 + x
Problem 3
How to solve equations with the same variable on both sides when there is no solution.
Solving Equations with a Variable on Both Sides - Problem 4

Solve for x.

2(7x + 3) = 10(x + 1) + 4(x -1)
Problem 4
How to solve equations with the same variable on both sides when there are infinite solutions.