# How do you solve 3(g-1)-7=3g+4?

Apr 24, 2018

There is no solution.

#### Explanation:

Solve:

$3 \left(g - 1\right) - 7 = 3 g + 4$

Distribute the $3$ across $\left(g - 1\right)$ using the distributive property: $a \left(b + c\right) = a b + a c$.

$3 g - 3 - 7 = 3 g + 4$

Simplify.

$3 g - 10 = 3 g + 4$

Cancel $3 g$ on both sides.

$- 10 = 4$

Since $- 10 \ne 4$, there is no solution.