89=5(1+8x)+2x

Solution for 89=5(1+8x)+2x equation:

Simplifying
89 = 5(1 + 8x) + 2x
89 = (1 * 5 + 8x * 5) + 2x
89 = (5 + 40x) + 2x

Combine like terms: 40x + 2x = 42x
89 = 5 + 42x

Solving
89 = 5 + 42x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-42x' to each side of the equation.
89 + -42x = 5 + 42x + -42x

Combine like terms: 42x + -42x = 0
89 + -42x = 5 + 0
89 + -42x = 5

Add '-89' to each side of the equation.
89 + -89 + -42x = 5 + -89

Combine like terms: 89 + -89 = 0
0 + -42x = 5 + -89
-42x = 5 + -89

Combine like terms: 5 + -89 = -84
-42x = -84

Divide each side by '-42'.
x = 2

Simplifying
x = 2