3(4x+1)-2x+8-3x=-2(5x-6)+9-x

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Solution for 3(4x+1)-2x+8-3x=-2(5x-6)+9-x equation:


Simplifying
3(4x + 1) + -2x + 8 + -3x = -2(5x + -6) + 9 + -1x

Reorder the terms:
3(1 + 4x) + -2x + 8 + -3x = -2(5x + -6) + 9 + -1x
(1 * 3 + 4x * 3) + -2x + 8 + -3x = -2(5x + -6) + 9 + -1x
(3 + 12x) + -2x + 8 + -3x = -2(5x + -6) + 9 + -1x

Reorder the terms:
3 + 8 + 12x + -2x + -3x = -2(5x + -6) + 9 + -1x

Combine like terms: 3 + 8 = 11
11 + 12x + -2x + -3x = -2(5x + -6) + 9 + -1x

Combine like terms: 12x + -2x = 10x
11 + 10x + -3x = -2(5x + -6) + 9 + -1x

Combine like terms: 10x + -3x = 7x
11 + 7x = -2(5x + -6) + 9 + -1x

Reorder the terms:
11 + 7x = -2(-6 + 5x) + 9 + -1x
11 + 7x = (-6 * -2 + 5x * -2) + 9 + -1x
11 + 7x = (12 + -10x) + 9 + -1x

Reorder the terms:
11 + 7x = 12 + 9 + -10x + -1x

Combine like terms: 12 + 9 = 21
11 + 7x = 21 + -10x + -1x

Combine like terms: -10x + -1x = -11x
11 + 7x = 21 + -11x

Solving
11 + 7x = 21 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
11 + 7x + 11x = 21 + -11x + 11x

Combine like terms: 7x + 11x = 18x
11 + 18x = 21 + -11x + 11x

Combine like terms: -11x + 11x = 0
11 + 18x = 21 + 0
11 + 18x = 21

Add '-11' to each side of the equation.
11 + -11 + 18x = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 18x = 21 + -11
18x = 21 + -11

Combine like terms: 21 + -11 = 10
18x = 10

Divide each side by '18'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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