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

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

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

Reorder the terms:
5(-4 + x) + -2(3 + -2x) = 4(x + 2) + -3(2 + -3x)
(-4 * 5 + x * 5) + -2(3 + -2x) = 4(x + 2) + -3(2 + -3x)
(-20 + 5x) + -2(3 + -2x) = 4(x + 2) + -3(2 + -3x)
-20 + 5x + (3 * -2 + -2x * -2) = 4(x + 2) + -3(2 + -3x)
-20 + 5x + (-6 + 4x) = 4(x + 2) + -3(2 + -3x)

Reorder the terms:
-20 + -6 + 5x + 4x = 4(x + 2) + -3(2 + -3x)

Combine like terms: -20 + -6 = -26
-26 + 5x + 4x = 4(x + 2) + -3(2 + -3x)

Combine like terms: 5x + 4x = 9x
-26 + 9x = 4(x + 2) + -3(2 + -3x)

Reorder the terms:
-26 + 9x = 4(2 + x) + -3(2 + -3x)
-26 + 9x = (2 * 4 + x * 4) + -3(2 + -3x)
-26 + 9x = (8 + 4x) + -3(2 + -3x)
-26 + 9x = 8 + 4x + (2 * -3 + -3x * -3)
-26 + 9x = 8 + 4x + (-6 + 9x)

Reorder the terms:
-26 + 9x = 8 + -6 + 4x + 9x

Combine like terms: 8 + -6 = 2
-26 + 9x = 2 + 4x + 9x

Combine like terms: 4x + 9x = 13x
-26 + 9x = 2 + 13x

Solving
-26 + 9x = 2 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-26 + 9x + -13x = 2 + 13x + -13x

Combine like terms: 9x + -13x = -4x
-26 + -4x = 2 + 13x + -13x

Combine like terms: 13x + -13x = 0
-26 + -4x = 2 + 0
-26 + -4x = 2

Add '26' to each side of the equation.
-26 + 26 + -4x = 2 + 26

Combine like terms: -26 + 26 = 0
0 + -4x = 2 + 26
-4x = 2 + 26

Combine like terms: 2 + 26 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7