### 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 Problems (4)

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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.

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.

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.

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.