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

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


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

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

Reorder the terms:
16 + 8x + -2(-3 + x) = 2(x + -3) + 3(x + -4)
16 + 8x + (-3 * -2 + x * -2) = 2(x + -3) + 3(x + -4)
16 + 8x + (6 + -2x) = 2(x + -3) + 3(x + -4)

Reorder the terms:
16 + 6 + 8x + -2x = 2(x + -3) + 3(x + -4)

Combine like terms: 16 + 6 = 22
22 + 8x + -2x = 2(x + -3) + 3(x + -4)

Combine like terms: 8x + -2x = 6x
22 + 6x = 2(x + -3) + 3(x + -4)

Reorder the terms:
22 + 6x = 2(-3 + x) + 3(x + -4)
22 + 6x = (-3 * 2 + x * 2) + 3(x + -4)
22 + 6x = (-6 + 2x) + 3(x + -4)

Reorder the terms:
22 + 6x = -6 + 2x + 3(-4 + x)
22 + 6x = -6 + 2x + (-4 * 3 + x * 3)
22 + 6x = -6 + 2x + (-12 + 3x)

Reorder the terms:
22 + 6x = -6 + -12 + 2x + 3x

Combine like terms: -6 + -12 = -18
22 + 6x = -18 + 2x + 3x

Combine like terms: 2x + 3x = 5x
22 + 6x = -18 + 5x

Solving
22 + 6x = -18 + 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.
22 + 6x + -5x = -18 + 5x + -5x

Combine like terms: 6x + -5x = 1x
22 + 1x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + 1x = -18 + 0
22 + 1x = -18

Add '-22' to each side of the equation.
22 + -22 + 1x = -18 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = -18 + -22
1x = -18 + -22

Combine like terms: -18 + -22 = -40
1x = -40

Divide each side by '1'.
x = -40

Simplifying
x = -40

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