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

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


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

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

Reorder the terms:
32 + 8x + -3(-3 + x) = 2(x + -2) + 2(x + -2)
32 + 8x + (-3 * -3 + x * -3) = 2(x + -2) + 2(x + -2)
32 + 8x + (9 + -3x) = 2(x + -2) + 2(x + -2)

Reorder the terms:
32 + 9 + 8x + -3x = 2(x + -2) + 2(x + -2)

Combine like terms: 32 + 9 = 41
41 + 8x + -3x = 2(x + -2) + 2(x + -2)

Combine like terms: 8x + -3x = 5x
41 + 5x = 2(x + -2) + 2(x + -2)

Reorder the terms:
41 + 5x = 2(-2 + x) + 2(x + -2)
41 + 5x = (-2 * 2 + x * 2) + 2(x + -2)
41 + 5x = (-4 + 2x) + 2(x + -2)

Reorder the terms:
41 + 5x = -4 + 2x + 2(-2 + x)
41 + 5x = -4 + 2x + (-2 * 2 + x * 2)
41 + 5x = -4 + 2x + (-4 + 2x)

Reorder the terms:
41 + 5x = -4 + -4 + 2x + 2x

Combine like terms: -4 + -4 = -8
41 + 5x = -8 + 2x + 2x

Combine like terms: 2x + 2x = 4x
41 + 5x = -8 + 4x

Solving
41 + 5x = -8 + 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.
41 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
41 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
41 + 1x = -8 + 0
41 + 1x = -8

Add '-41' to each side of the equation.
41 + -41 + 1x = -8 + -41

Combine like terms: 41 + -41 = 0
0 + 1x = -8 + -41
1x = -8 + -41

Combine like terms: -8 + -41 = -49
1x = -49

Divide each side by '1'.
x = -49

Simplifying
x = -49

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