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

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

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

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

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

Combine like terms: 2x + -4x = -2x
3x + -4(10 + -2x) = 4 + -3(2x + 3(2x + -4))
3x + (10 * -4 + -2x * -4) = 4 + -3(2x + 3(2x + -4))
3x + (-40 + 8x) = 4 + -3(2x + 3(2x + -4))

Reorder the terms:
-40 + 3x + 8x = 4 + -3(2x + 3(2x + -4))

Combine like terms: 3x + 8x = 11x
-40 + 11x = 4 + -3(2x + 3(2x + -4))

Reorder the terms:
-40 + 11x = 4 + -3(2x + 3(-4 + 2x))
-40 + 11x = 4 + -3(2x + (-4 * 3 + 2x * 3))
-40 + 11x = 4 + -3(2x + (-12 + 6x))

Reorder the terms:
-40 + 11x = 4 + -3(-12 + 2x + 6x)

Combine like terms: 2x + 6x = 8x
-40 + 11x = 4 + -3(-12 + 8x)
-40 + 11x = 4 + (-12 * -3 + 8x * -3)
-40 + 11x = 4 + (36 + -24x)

Combine like terms: 4 + 36 = 40
-40 + 11x = 40 + -24x

Solving
-40 + 11x = 40 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-40 + 11x + 24x = 40 + -24x + 24x

Combine like terms: 11x + 24x = 35x
-40 + 35x = 40 + -24x + 24x

Combine like terms: -24x + 24x = 0
-40 + 35x = 40 + 0
-40 + 35x = 40

Add '40' to each side of the equation.
-40 + 40 + 35x = 40 + 40

Combine like terms: -40 + 40 = 0
0 + 35x = 40 + 40
35x = 40 + 40

Combine like terms: 40 + 40 = 80
35x = 80

Divide each side by '35'.
x = 2.285714286

Simplifying
x = 2.285714286