-5[2x-7]+24=89

Solution for -5[2x-7]+24=89 equation:

Simplifying
-5[2x + -7] + 24 = 89

Reorder the terms:
-5[-7 + 2x] + 24 = 89
[-7 * -5 + 2x * -5] + 24 = 89
[35 + -10x] + 24 = 89

Reorder the terms:
35 + 24 + -10x = 89

Combine like terms: 35 + 24 = 59
59 + -10x = 89

Solving
59 + -10x = 89

Solving for variable 'x'.

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

Add '-59' to each side of the equation.
59 + -59 + -10x = 89 + -59

Combine like terms: 59 + -59 = 0
0 + -10x = 89 + -59
-10x = 89 + -59

Combine like terms: 89 + -59 = 30
-10x = 30

Divide each side by '-10'.
x = -3

Simplifying
x = -3