Question

3(2x + 4) + 5x = 89

Explanation:

Step1: Expand the expression

$3(2x + 4)+5x=3\times2x+3\times4 + 5x=6x + 12+5x$

Step2: Combine like - terms

$6x+5x + 12=(6 + 5)x+12=11x+12$
So the equation becomes $11x + 12=89$.

Step3: Isolate the variable term

Subtract 12 from both sides: $11x+12 - 12=89 - 12$, which gives $11x=77$.

Step4: Solve for x

Divide both sides by 11: $\frac{11x}{11}=\frac{77}{11}$, so $x = 7$.

Answer:

$x = 7$