2(4-(x-1)3)-3(x-5(1-x))=5x

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Solution for 2(4-(x-1)3)-3(x-5(1-x))=5x equation:


Simplifying
2(4 + -1(x + -1) * 3) + -3(x + -5(1 + -1x)) = 5x

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

Reorder the terms for easier multiplication:
2(4 + -1 * 3(-1 + x)) + -3(x + -5(1 + -1x)) = 5x

Multiply -1 * 3
2(4 + -3(-1 + x)) + -3(x + -5(1 + -1x)) = 5x
2(4 + (-1 * -3 + x * -3)) + -3(x + -5(1 + -1x)) = 5x
2(4 + (3 + -3x)) + -3(x + -5(1 + -1x)) = 5x

Combine like terms: 4 + 3 = 7
2(7 + -3x) + -3(x + -5(1 + -1x)) = 5x
(7 * 2 + -3x * 2) + -3(x + -5(1 + -1x)) = 5x
(14 + -6x) + -3(x + -5(1 + -1x)) = 5x
14 + -6x + -3(x + (1 * -5 + -1x * -5)) = 5x
14 + -6x + -3(x + (-5 + 5x)) = 5x

Reorder the terms:
14 + -6x + -3(-5 + x + 5x) = 5x

Combine like terms: x + 5x = 6x
14 + -6x + -3(-5 + 6x) = 5x
14 + -6x + (-5 * -3 + 6x * -3) = 5x
14 + -6x + (15 + -18x) = 5x

Reorder the terms:
14 + 15 + -6x + -18x = 5x

Combine like terms: 14 + 15 = 29
29 + -6x + -18x = 5x

Combine like terms: -6x + -18x = -24x
29 + -24x = 5x

Solving
29 + -24x = 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.
29 + -24x + -5x = 5x + -5x

Combine like terms: -24x + -5x = -29x
29 + -29x = 5x + -5x

Combine like terms: 5x + -5x = 0
29 + -29x = 0

Add '-29' to each side of the equation.
29 + -29 + -29x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -29x = 0 + -29
-29x = 0 + -29

Combine like terms: 0 + -29 = -29
-29x = -29

Divide each side by '-29'.
x = 1

Simplifying
x = 1

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