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

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

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

Reorder the terms:
4(5 + x) = 3(x + -2) + -2(x + 2)
(5 * 4 + x * 4) = 3(x + -2) + -2(x + 2)
(20 + 4x) = 3(x + -2) + -2(x + 2)

Reorder the terms:
20 + 4x = 3(-2 + x) + -2(x + 2)
20 + 4x = (-2 * 3 + x * 3) + -2(x + 2)
20 + 4x = (-6 + 3x) + -2(x + 2)

Reorder the terms:
20 + 4x = -6 + 3x + -2(2 + x)
20 + 4x = -6 + 3x + (2 * -2 + x * -2)
20 + 4x = -6 + 3x + (-4 + -2x)

Reorder the terms:
20 + 4x = -6 + -4 + 3x + -2x

Combine like terms: -6 + -4 = -10
20 + 4x = -10 + 3x + -2x

Combine like terms: 3x + -2x = 1x
20 + 4x = -10 + 1x

Solving
20 + 4x = -10 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + 4x + -1x = -10 + 1x + -1x

Combine like terms: 4x + -1x = 3x
20 + 3x = -10 + 1x + -1x

Combine like terms: 1x + -1x = 0
20 + 3x = -10 + 0
20 + 3x = -10

Add '-20' to each side of the equation.
20 + -20 + 3x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 3x = -10 + -20
3x = -10 + -20

Combine like terms: -10 + -20 = -30
3x = -30

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

Simplifying
x = -10