-2x+8+8x=6(3-3x)+5(x-2)

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Solution for -2x+8+8x=6(3-3x)+5(x-2) equation:


Simplifying
-2x + 8 + 8x = 6(3 + -3x) + 5(x + -2)

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

Combine like terms: -2x + 8x = 6x
8 + 6x = 6(3 + -3x) + 5(x + -2)
8 + 6x = (3 * 6 + -3x * 6) + 5(x + -2)
8 + 6x = (18 + -18x) + 5(x + -2)

Reorder the terms:
8 + 6x = 18 + -18x + 5(-2 + x)
8 + 6x = 18 + -18x + (-2 * 5 + x * 5)
8 + 6x = 18 + -18x + (-10 + 5x)

Reorder the terms:
8 + 6x = 18 + -10 + -18x + 5x

Combine like terms: 18 + -10 = 8
8 + 6x = 8 + -18x + 5x

Combine like terms: -18x + 5x = -13x
8 + 6x = 8 + -13x

Add '-8' to each side of the equation.
8 + -8 + 6x = 8 + -8 + -13x

Combine like terms: 8 + -8 = 0
0 + 6x = 8 + -8 + -13x
6x = 8 + -8 + -13x

Combine like terms: 8 + -8 = 0
6x = 0 + -13x
6x = -13x

Solving
6x = -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
6x + 13x = -13x + 13x

Combine like terms: 6x + 13x = 19x
19x = -13x + 13x

Combine like terms: -13x + 13x = 0
19x = 0

Divide each side by '19'.
x = 0

Simplifying
x = 0

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