-89=4(3x-8)+3(x+1)

Solution for -89=4(3x-8)+3(x+1) equation:

Simplifying
-89 = 4(3x + -8) + 3(x + 1)

Reorder the terms:
-89 = 4(-8 + 3x) + 3(x + 1)
-89 = (-8 * 4 + 3x * 4) + 3(x + 1)
-89 = (-32 + 12x) + 3(x + 1)

Reorder the terms:
-89 = -32 + 12x + 3(1 + x)
-89 = -32 + 12x + (1 * 3 + x * 3)
-89 = -32 + 12x + (3 + 3x)

Reorder the terms:
-89 = -32 + 3 + 12x + 3x

Combine like terms: -32 + 3 = -29
-89 = -29 + 12x + 3x

Combine like terms: 12x + 3x = 15x
-89 = -29 + 15x

Solving
-89 = -29 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-89 + -15x = -29 + 15x + -15x

Combine like terms: 15x + -15x = 0
-89 + -15x = -29 + 0
-89 + -15x = -29

Add '89' to each side of the equation.
-89 + 89 + -15x = -29 + 89

Combine like terms: -89 + 89 = 0
0 + -15x = -29 + 89
-15x = -29 + 89

Combine like terms: -29 + 89 = 60
-15x = 60

Divide each side by '-15'.
x = -4

Simplifying
x = -4