8(x+1)-3(x-2)=2(x-1)+2(x-2)

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Solution for 8(x+1)-3(x-2)=2(x-1)+2(x-2) equation: 


Simplifying
8(x + 1) + -3(x + -2) = 2(x + -1) + 2(x + -2)

Reorder the terms:
8(1 + x) + -3(x + -2) = 2(x + -1) + 2(x + -2)
(1 * 8 + x * 8) + -3(x + -2) = 2(x + -1) + 2(x + -2)
(8 + 8x) + -3(x + -2) = 2(x + -1) + 2(x + -2)

Reorder the terms:
8 + 8x + -3(-2 + x) = 2(x + -1) + 2(x + -2)
8 + 8x + (-2 * -3 + x * -3) = 2(x + -1) + 2(x + -2)
8 + 8x + (6 + -3x) = 2(x + -1) + 2(x + -2)

Reorder the terms:
8 + 6 + 8x + -3x = 2(x + -1) + 2(x + -2)

Combine like terms: 8 + 6 = 14
14 + 8x + -3x = 2(x + -1) + 2(x + -2)

Combine like terms: 8x + -3x = 5x
14 + 5x = 2(x + -1) + 2(x + -2)

Reorder the terms:
14 + 5x = 2(-1 + x) + 2(x + -2)
14 + 5x = (-1 * 2 + x * 2) + 2(x + -2)
14 + 5x = (-2 + 2x) + 2(x + -2)

Reorder the terms:
14 + 5x = -2 + 2x + 2(-2 + x)
14 + 5x = -2 + 2x + (-2 * 2 + x * 2)
14 + 5x = -2 + 2x + (-4 + 2x)

Reorder the terms:
14 + 5x = -2 + -4 + 2x + 2x

Combine like terms: -2 + -4 = -6
14 + 5x = -6 + 2x + 2x

Combine like terms: 2x + 2x = 4x
14 + 5x = -6 + 4x

Solving
14 + 5x = -6 + 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.
14 + 5x + -4x = -6 + 4x + -4x

Combine like terms: 5x + -4x = 1x
14 + 1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 1x = -6 + 0
14 + 1x = -6

Add '-14' to each side of the equation.
14 + -14 + 1x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = -6 + -14
1x = -6 + -14

Combine like terms: -6 + -14 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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