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

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


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

Reorder the terms:
8(2 + x) + -3(x + -3) = 2(x + -4) + 2(x + -3)
(2 * 8 + x * 8) + -3(x + -3) = 2(x + -4) + 2(x + -3)
(16 + 8x) + -3(x + -3) = 2(x + -4) + 2(x + -3)

Reorder the terms:
16 + 8x + -3(-3 + x) = 2(x + -4) + 2(x + -3)
16 + 8x + (-3 * -3 + x * -3) = 2(x + -4) + 2(x + -3)
16 + 8x + (9 + -3x) = 2(x + -4) + 2(x + -3)

Reorder the terms:
16 + 9 + 8x + -3x = 2(x + -4) + 2(x + -3)

Combine like terms: 16 + 9 = 25
25 + 8x + -3x = 2(x + -4) + 2(x + -3)

Combine like terms: 8x + -3x = 5x
25 + 5x = 2(x + -4) + 2(x + -3)

Reorder the terms:
25 + 5x = 2(-4 + x) + 2(x + -3)
25 + 5x = (-4 * 2 + x * 2) + 2(x + -3)
25 + 5x = (-8 + 2x) + 2(x + -3)

Reorder the terms:
25 + 5x = -8 + 2x + 2(-3 + x)
25 + 5x = -8 + 2x + (-3 * 2 + x * 2)
25 + 5x = -8 + 2x + (-6 + 2x)

Reorder the terms:
25 + 5x = -8 + -6 + 2x + 2x

Combine like terms: -8 + -6 = -14
25 + 5x = -14 + 2x + 2x

Combine like terms: 2x + 2x = 4x
25 + 5x = -14 + 4x

Solving
25 + 5x = -14 + 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.
25 + 5x + -4x = -14 + 4x + -4x

Combine like terms: 5x + -4x = 1x
25 + 1x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
25 + 1x = -14 + 0
25 + 1x = -14

Add '-25' to each side of the equation.
25 + -25 + 1x = -14 + -25

Combine like terms: 25 + -25 = 0
0 + 1x = -14 + -25
1x = -14 + -25

Combine like terms: -14 + -25 = -39
1x = -39

Divide each side by '1'.
x = -39

Simplifying
x = -39

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