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

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


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

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

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

Combine like terms: x + -3x = -2x
5x + -3(4 + -2x) = 2(5x + -3(1 + -2x)) + 5
5x + (4 * -3 + -2x * -3) = 2(5x + -3(1 + -2x)) + 5
5x + (-12 + 6x) = 2(5x + -3(1 + -2x)) + 5

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

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

Reorder the terms:
-12 + 11x = 2(-3 + 5x + 6x) + 5

Combine like terms: 5x + 6x = 11x
-12 + 11x = 2(-3 + 11x) + 5
-12 + 11x = (-3 * 2 + 11x * 2) + 5
-12 + 11x = (-6 + 22x) + 5

Reorder the terms:
-12 + 11x = -6 + 5 + 22x

Combine like terms: -6 + 5 = -1
-12 + 11x = -1 + 22x

Solving
-12 + 11x = -1 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-12 + 11x + -22x = -1 + 22x + -22x

Combine like terms: 11x + -22x = -11x
-12 + -11x = -1 + 22x + -22x

Combine like terms: 22x + -22x = 0
-12 + -11x = -1 + 0
-12 + -11x = -1

Add '12' to each side of the equation.
-12 + 12 + -11x = -1 + 12

Combine like terms: -12 + 12 = 0
0 + -11x = -1 + 12
-11x = -1 + 12

Combine like terms: -1 + 12 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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