Question

How do I solve x for 3+5(+3)+2=2+7?

Answer 1

$3y+5(x+3)+2=2y+7$

To solve x:

1- Remove parentheses by using distributive property:

$3y+5x+15+2=2y+7$

2-Combine like terms;

$3y+5x+17=2y+7$

3-Leave x in one side of the equal sing:

- Subtract 3y in both sides of the equation

$\begin{gathered} 3y-3y+5x+17=2y-3y+7 \\ 5x+17=-y+7 \end{gathered}$

-Subtract 17 in both sides of the equation:

$\begin{gathered} 5x+17-17=-y+7-17 \\ 5x=-y-10 \end{gathered}$

-Divide both sides of the equation into 5:

$\begin{gathered} \frac{5}{5}x=-\frac{y}{5}-\frac{10}{5} \\ \\ x=-\frac{y}{5}-2 \end{gathered}$Then, the solution for x in the given equation is:$x=-\frac{y}{5}-2$