Question

Solve for x. 9(x + 1) = 25 + x
a) x = 2
b) x = 3
c) x = 4
d) x = 5

Answer 1

To solve for x in the equation 9(x + 1) = 25 + x, distribute the 9 and collect like terms to isolate x as 2.

Step-by-step explanation:

To solve for x in the equation 9(x + 1) = 25 + x, we need to simplify the equation first. Distribute the 9 on the left side of the equation: 9x + 9 = 25 + x.

Next, collect like terms on each side of the equation: 9x - x = 25 - 9. Simplify further: 8x = 16.

Divide both sides of the equation by 8 to isolate x: x = 2.