4(x-1)+5(x+2)=3(x-8)

Solution for 4(x-1)+5(x+2)=3(x-8) equation:

Simplifying
4(x + -1) + 5(x + 2) = 3(x + -8)

Reorder the terms:
4(-1 + x) + 5(x + 2) = 3(x + -8)
(-1 * 4 + x * 4) + 5(x + 2) = 3(x + -8)
(-4 + 4x) + 5(x + 2) = 3(x + -8)

Reorder the terms:
-4 + 4x + 5(2 + x) = 3(x + -8)
-4 + 4x + (2 * 5 + x * 5) = 3(x + -8)
-4 + 4x + (10 + 5x) = 3(x + -8)

Reorder the terms:
-4 + 10 + 4x + 5x = 3(x + -8)

Combine like terms: -4 + 10 = 6
6 + 4x + 5x = 3(x + -8)

Combine like terms: 4x + 5x = 9x
6 + 9x = 3(x + -8)

Reorder the terms:
6 + 9x = 3(-8 + x)
6 + 9x = (-8 * 3 + x * 3)
6 + 9x = (-24 + 3x)

Solving
6 + 9x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 9x + -3x = -24 + 3x + -3x

Combine like terms: 9x + -3x = 6x
6 + 6x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 6x = -24 + 0
6 + 6x = -24

Add '-6' to each side of the equation.
6 + -6 + 6x = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = -24 + -6
6x = -24 + -6

Combine like terms: -24 + -6 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5