2(5x+1)-2x=3(2x-2)-4

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Solution for 2(5x+1)-2x=3(2x-2)-4 equation: 


Simplifying
2(5x + 1) + -2x = 3(2x + -2) + -4

Reorder the terms:
2(1 + 5x) + -2x = 3(2x + -2) + -4
(1 * 2 + 5x * 2) + -2x = 3(2x + -2) + -4
(2 + 10x) + -2x = 3(2x + -2) + -4

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

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

Reorder the terms:
2 + 8x = -6 + -4 + 6x

Combine like terms: -6 + -4 = -10
2 + 8x = -10 + 6x

Solving
2 + 8x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
2 + 8x + -6x = -10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
2 + 2x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + 2x = -10 + 0
2 + 2x = -10

Add '-2' to each side of the equation.
2 + -2 + 2x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = -10 + -2
2x = -10 + -2

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

Divide each side by '2'.
x = -6

Simplifying
x = -6

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