Question

Solve for x:6/7 (x+3)=4

Answer 1

$x=\frac{5}{6}$

Explanation

$\frac{6}{7}(x+3)=4$

Step 1

Multiply both sides by 7

$\begin{gathered} \frac{6}{7}(x+3)=4 \\ \frac{6}{7}(x+3)\cdot7=4\cdot7 \\ 6(x+3)=28 \end{gathered}$

Step 2

apply distributive property to break the parenthesis

$\begin{gathered} 6(x+3)=28 \\ 6x+18=23 \end{gathered}$

Step 3

subtract 18 in both sides

$\begin{gathered} 6x+18=23 \\ 6x+18-18=23-18 \\ 6x=5 \end{gathered}$

Step 4

Finally, divide both sides by 6

$\begin{gathered} 6x=5 \\ \frac{6x}{6}=\frac{5}{6} \\ x=\frac{5}{6} \end{gathered}$

I hope this helps you