Question

Identify the like terms you would combine to solve the following equation:$-3x+5-2x+8=12$

Short answer

The like terms that would be combined to solve the equation are$-3x,-2x$ and 12, 5, 8.

Step-by-step solution

– Given information.

The given equation is:$-3x+5-2x+8=12$

– Write the concept.

The terms which have the same variable part are called like terms, the like terms in the provided expression are,$-3x,-2x$

and 5, 8, -12

– Solve the equation.

The equation can be solved as in below.

$\begin{array}{c}-3x+5-2x+8=12\\ -3x-2x=12-5-8\\ -5x=12-13\\ -5x=-1\end{array}$

So,$x=\frac{1}{5}$.