Question

6(x – 3) = 4(x + 3) need help

Answer 1

x=15

Explanation

$6(x-3)=4(x+3)$

Step 1

apply distributive property to eliminate the parenthesis

$\begin{gathered} 6(x-3)=4(x+3) \\ 6\cdot x+6\cdot-3=4\cdot x+4\cdot3 \\ 6x-18=4x+12 \\ \end{gathered}$

Step 2

subtract 4x in both sides

$\begin{gathered} 6x-18=4x+12 \\ 6x-18-4x=4x+12-4x \\ 2x-18=12 \end{gathered}$

Step 3

add 18 in both sides

$\begin{gathered} 2x-18=12 \\ 2x-18+18=12+18 \\ 2x=30 \end{gathered}$

Step 4

finally , divide both sides by 2

$\begin{gathered} 2x=30 \\ \frac{2x}{2}=\frac{30}{2} \\ x=15 \end{gathered}$

I hope this helps you