Question

Solve for x: 9(3x + 6) = - 12 + 5xX =?

Answer 1

`9(3x+6)=-12+5x`

To find the value of x in the equation above, here are the steps.

1. Distribute 9 to the numbers inside the parenthesis.

`\begin{gathered} 9(3x)+9(6)=-12+5x \\ 27x+54=-12+5x \end{gathered}`

2. Transfer 5x to the left side reversing the sign. Transfer 54 to the right side reversing the sign as well.

`\begin{gathered} 27x-5x=-12-54 \\ 22x=-66 \end{gathered}`

3. Divide both sides by 22.

`\begin{gathered} (22x)/(22)=-(66)/(22) \\ x=-3 \end{gathered}`

Therefore, the value of x = -3.

To doublecheck if that is correct, let's replace x with -3 in the original equation.

`\begin{gathered} 9(3(-3)+6=-12+5(-3) \\ 9(-9+6)=-12-15 \\ 9(-3)=-27 \\ -27=-27 \end{gathered}`

Indeed, at x = -3, both sides are equal to each other that is -27.