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

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


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

Reorder the terms:
8(3 + x) + -2(x + -3) = 2(x + -3) + 3(x + -3)
(3 * 8 + x * 8) + -2(x + -3) = 2(x + -3) + 3(x + -3)
(24 + 8x) + -2(x + -3) = 2(x + -3) + 3(x + -3)

Reorder the terms:
24 + 8x + -2(-3 + x) = 2(x + -3) + 3(x + -3)
24 + 8x + (-3 * -2 + x * -2) = 2(x + -3) + 3(x + -3)
24 + 8x + (6 + -2x) = 2(x + -3) + 3(x + -3)

Reorder the terms:
24 + 6 + 8x + -2x = 2(x + -3) + 3(x + -3)

Combine like terms: 24 + 6 = 30
30 + 8x + -2x = 2(x + -3) + 3(x + -3)

Combine like terms: 8x + -2x = 6x
30 + 6x = 2(x + -3) + 3(x + -3)

Reorder the terms:
30 + 6x = 2(-3 + x) + 3(x + -3)
30 + 6x = (-3 * 2 + x * 2) + 3(x + -3)
30 + 6x = (-6 + 2x) + 3(x + -3)

Reorder the terms:
30 + 6x = -6 + 2x + 3(-3 + x)
30 + 6x = -6 + 2x + (-3 * 3 + x * 3)
30 + 6x = -6 + 2x + (-9 + 3x)

Reorder the terms:
30 + 6x = -6 + -9 + 2x + 3x

Combine like terms: -6 + -9 = -15
30 + 6x = -15 + 2x + 3x

Combine like terms: 2x + 3x = 5x
30 + 6x = -15 + 5x

Solving
30 + 6x = -15 + 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.
30 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
30 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + 1x = -15 + 0
30 + 1x = -15

Add '-30' to each side of the equation.
30 + -30 + 1x = -15 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = -15 + -30
1x = -15 + -30

Combine like terms: -15 + -30 = -45
1x = -45

Divide each side by '1'.
x = -45

Simplifying
x = -45

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