5(2x+1)-4(5x-1)=2(2x-6)-4(6x-5)+8x

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Solution for 5(2x+1)-4(5x-1)=2(2x-6)-4(6x-5)+8x equation: 


Simplifying
5(2x + 1) + -4(5x + -1) = 2(2x + -6) + -4(6x + -5) + 8x

Reorder the terms:
5(1 + 2x) + -4(5x + -1) = 2(2x + -6) + -4(6x + -5) + 8x
(1 * 5 + 2x * 5) + -4(5x + -1) = 2(2x + -6) + -4(6x + -5) + 8x
(5 + 10x) + -4(5x + -1) = 2(2x + -6) + -4(6x + -5) + 8x

Reorder the terms:
5 + 10x + -4(-1 + 5x) = 2(2x + -6) + -4(6x + -5) + 8x
5 + 10x + (-1 * -4 + 5x * -4) = 2(2x + -6) + -4(6x + -5) + 8x
5 + 10x + (4 + -20x) = 2(2x + -6) + -4(6x + -5) + 8x

Reorder the terms:
5 + 4 + 10x + -20x = 2(2x + -6) + -4(6x + -5) + 8x

Combine like terms: 5 + 4 = 9
9 + 10x + -20x = 2(2x + -6) + -4(6x + -5) + 8x

Combine like terms: 10x + -20x = -10x
9 + -10x = 2(2x + -6) + -4(6x + -5) + 8x

Reorder the terms:
9 + -10x = 2(-6 + 2x) + -4(6x + -5) + 8x
9 + -10x = (-6 * 2 + 2x * 2) + -4(6x + -5) + 8x
9 + -10x = (-12 + 4x) + -4(6x + -5) + 8x

Reorder the terms:
9 + -10x = -12 + 4x + -4(-5 + 6x) + 8x
9 + -10x = -12 + 4x + (-5 * -4 + 6x * -4) + 8x
9 + -10x = -12 + 4x + (20 + -24x) + 8x

Reorder the terms:
9 + -10x = -12 + 20 + 4x + -24x + 8x

Combine like terms: -12 + 20 = 8
9 + -10x = 8 + 4x + -24x + 8x

Combine like terms: 4x + -24x = -20x
9 + -10x = 8 + -20x + 8x

Combine like terms: -20x + 8x = -12x
9 + -10x = 8 + -12x

Solving
9 + -10x = 8 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
9 + -10x + 12x = 8 + -12x + 12x

Combine like terms: -10x + 12x = 2x
9 + 2x = 8 + -12x + 12x

Combine like terms: -12x + 12x = 0
9 + 2x = 8 + 0
9 + 2x = 8

Add '-9' to each side of the equation.
9 + -9 + 2x = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 8 + -9
2x = 8 + -9

Combine like terms: 8 + -9 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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