# How do you solve #3x-51=-2x+59#?

##### 2 Answers

#### Explanation:

1) Combine Like terms by transposition of terms. [Remember to reverse the signs when transposing]

By combining like terms, you should get

2) Divide by

22

#### Explanation:

This is a topic of mathematical transpositions. The main goal of transposing is grouping variables and constants on different sides for easier evaluation without disrupting the equality of the whole system/equation.

For this example, we can group all terms with the

This would specifically mean that

Simplifying,

Solving for

Take note that the transposed terms

For example,

If we transpose

And we can see that the equality of the whole equation is maintained. In essence, the mathematical operation performed in the transposition can be done by **subtracting #8#** (or adding