10. 3(5x + 2) = 2(3x - 6)

Explanation:

Step1: Expand both sides

$3(5x + 2)=15x+6$ and $2(3x - 6)=6x-12$, so the equation becomes $15x + 6=6x-12$.

Step2: Move x - terms to one side

Subtract $6x$ from both sides: $15x-6x + 6=6x-6x-12$, which simplifies to $9x+6=-12$.

Step3: Move constant to the other side

Subtract 6 from both sides: $9x+6 - 6=-12 - 6$, getting $9x=-18$.

Step4: Solve for x

Divide both sides by 9: $\frac{9x}{9}=\frac{-18}{9}$, so $x = - 2$.

Answer:

$x=-2$