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

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


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

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

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

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

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

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

Reorder the terms:
14 + 6x = 2(-2 + x) + 3(x + -2)
14 + 6x = (-2 * 2 + x * 2) + 3(x + -2)
14 + 6x = (-4 + 2x) + 3(x + -2)

Reorder the terms:
14 + 6x = -4 + 2x + 3(-2 + x)
14 + 6x = -4 + 2x + (-2 * 3 + x * 3)
14 + 6x = -4 + 2x + (-6 + 3x)

Reorder the terms:
14 + 6x = -4 + -6 + 2x + 3x

Combine like terms: -4 + -6 = -10
14 + 6x = -10 + 2x + 3x

Combine like terms: 2x + 3x = 5x
14 + 6x = -10 + 5x

Solving
14 + 6x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 6x + -5x = -10 + 5x + -5x

Combine like terms: 6x + -5x = 1x
14 + 1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + 1x = -10 + 0
14 + 1x = -10

Add '-14' to each side of the equation.
14 + -14 + 1x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = -10 + -14
1x = -10 + -14

Combine like terms: -10 + -14 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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