Question

solve for x.
8x + 14 = 5x + 6x - 10
simplify your answer as much as possible.
x =

Explanation:

Step1: Combine like terms on the right

$5x + 6x = 11x$, so equation becomes $8x + 14 = 11x - 10$.

Step2: Subtract $8x$ from both sides

$8x - 8x + 14 = 11x - 8x - 10$ → $14 = 3x - 10$.

Step3: Add 10 to both sides

$14 + 10 = 3x - 10 + 10$ → $24 = 3x$.

Step4: Divide by 3

$\frac{24}{3} = \frac{3x}{3}$ → $x = 8$.

Answer:

$x = 8$