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

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


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

Reorder the terms:
5(-4 + 2x) + -8(2x + -4) = 3(2x + -4) + -2(5x + -4)
(-4 * 5 + 2x * 5) + -8(2x + -4) = 3(2x + -4) + -2(5x + -4)
(-20 + 10x) + -8(2x + -4) = 3(2x + -4) + -2(5x + -4)

Reorder the terms:
-20 + 10x + -8(-4 + 2x) = 3(2x + -4) + -2(5x + -4)
-20 + 10x + (-4 * -8 + 2x * -8) = 3(2x + -4) + -2(5x + -4)
-20 + 10x + (32 + -16x) = 3(2x + -4) + -2(5x + -4)

Reorder the terms:
-20 + 32 + 10x + -16x = 3(2x + -4) + -2(5x + -4)

Combine like terms: -20 + 32 = 12
12 + 10x + -16x = 3(2x + -4) + -2(5x + -4)

Combine like terms: 10x + -16x = -6x
12 + -6x = 3(2x + -4) + -2(5x + -4)

Reorder the terms:
12 + -6x = 3(-4 + 2x) + -2(5x + -4)
12 + -6x = (-4 * 3 + 2x * 3) + -2(5x + -4)
12 + -6x = (-12 + 6x) + -2(5x + -4)

Reorder the terms:
12 + -6x = -12 + 6x + -2(-4 + 5x)
12 + -6x = -12 + 6x + (-4 * -2 + 5x * -2)
12 + -6x = -12 + 6x + (8 + -10x)

Reorder the terms:
12 + -6x = -12 + 8 + 6x + -10x

Combine like terms: -12 + 8 = -4
12 + -6x = -4 + 6x + -10x

Combine like terms: 6x + -10x = -4x
12 + -6x = -4 + -4x

Solving
12 + -6x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
12 + -6x + 4x = -4 + -4x + 4x

Combine like terms: -6x + 4x = -2x
12 + -2x = -4 + -4x + 4x

Combine like terms: -4x + 4x = 0
12 + -2x = -4 + 0
12 + -2x = -4

Add '-12' to each side of the equation.
12 + -12 + -2x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -4 + -12
-2x = -4 + -12

Combine like terms: -4 + -12 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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