-3(x-3)+4(2x+9)-6=15-8(6-5x)+2

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Solution for -3(x-3)+4(2x+9)-6=15-8(6-5x)+2 equation: 


Simplifying
-3(x + -3) + 4(2x + 9) + -6 = 15 + -8(6 + -5x) + 2

Reorder the terms:
-3(-3 + x) + 4(2x + 9) + -6 = 15 + -8(6 + -5x) + 2
(-3 * -3 + x * -3) + 4(2x + 9) + -6 = 15 + -8(6 + -5x) + 2
(9 + -3x) + 4(2x + 9) + -6 = 15 + -8(6 + -5x) + 2

Reorder the terms:
9 + -3x + 4(9 + 2x) + -6 = 15 + -8(6 + -5x) + 2
9 + -3x + (9 * 4 + 2x * 4) + -6 = 15 + -8(6 + -5x) + 2
9 + -3x + (36 + 8x) + -6 = 15 + -8(6 + -5x) + 2

Reorder the terms:
9 + 36 + -6 + -3x + 8x = 15 + -8(6 + -5x) + 2

Combine like terms: 9 + 36 = 45
45 + -6 + -3x + 8x = 15 + -8(6 + -5x) + 2

Combine like terms: 45 + -6 = 39
39 + -3x + 8x = 15 + -8(6 + -5x) + 2

Combine like terms: -3x + 8x = 5x
39 + 5x = 15 + -8(6 + -5x) + 2
39 + 5x = 15 + (6 * -8 + -5x * -8) + 2
39 + 5x = 15 + (-48 + 40x) + 2

Reorder the terms:
39 + 5x = 15 + -48 + 2 + 40x

Combine like terms: 15 + -48 = -33
39 + 5x = -33 + 2 + 40x

Combine like terms: -33 + 2 = -31
39 + 5x = -31 + 40x

Solving
39 + 5x = -31 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
39 + 5x + -40x = -31 + 40x + -40x

Combine like terms: 5x + -40x = -35x
39 + -35x = -31 + 40x + -40x

Combine like terms: 40x + -40x = 0
39 + -35x = -31 + 0
39 + -35x = -31

Add '-39' to each side of the equation.
39 + -39 + -35x = -31 + -39

Combine like terms: 39 + -39 = 0
0 + -35x = -31 + -39
-35x = -31 + -39

Combine like terms: -31 + -39 = -70
-35x = -70

Divide each side by '-35'.
x = 2

Simplifying
x = 2

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