-5(2x-(-4x)-(-3)+7)=-3(2-5x-(-3x)-7)+12x

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Solution for -5(2x-(-4x)-(-3)+7)=-3(2-5x-(-3x)-7)+12x equation:


Simplifying
-5(2x + -1(-4x) + -1(-3) + 7) = -3(2 + -5x + -1(-3x) + -7) + 12x

Remove parenthesis around (-4x)
-5(2x + -1 * -4x + -1(-3) + 7) = -3(2 + -5x + -1(-3x) + -7) + 12x

Multiply -1 * -4
-5(2x + 4x + -1(-3) + 7) = -3(2 + -5x + -1(-3x) + -7) + 12x

Multiply -1 * -3
-5(2x + 4x + 3 + 7) = -3(2 + -5x + -1(-3x) + -7) + 12x

Reorder the terms:
-5(3 + 7 + 2x + 4x) = -3(2 + -5x + -1(-3x) + -7) + 12x

Combine like terms: 3 + 7 = 10
-5(10 + 2x + 4x) = -3(2 + -5x + -1(-3x) + -7) + 12x

Combine like terms: 2x + 4x = 6x
-5(10 + 6x) = -3(2 + -5x + -1(-3x) + -7) + 12x
(10 * -5 + 6x * -5) = -3(2 + -5x + -1(-3x) + -7) + 12x
(-50 + -30x) = -3(2 + -5x + -1(-3x) + -7) + 12x

Remove parenthesis around (-3x)
-50 + -30x = -3(2 + -5x + -1 * -3x + -7) + 12x

Multiply -1 * -3
-50 + -30x = -3(2 + -5x + 3x + -7) + 12x

Reorder the terms:
-50 + -30x = -3(2 + -7 + -5x + 3x) + 12x

Combine like terms: 2 + -7 = -5
-50 + -30x = -3(-5 + -5x + 3x) + 12x

Combine like terms: -5x + 3x = -2x
-50 + -30x = -3(-5 + -2x) + 12x
-50 + -30x = (-5 * -3 + -2x * -3) + 12x
-50 + -30x = (15 + 6x) + 12x

Combine like terms: 6x + 12x = 18x
-50 + -30x = 15 + 18x

Solving
-50 + -30x = 15 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-50 + -30x + -18x = 15 + 18x + -18x

Combine like terms: -30x + -18x = -48x
-50 + -48x = 15 + 18x + -18x

Combine like terms: 18x + -18x = 0
-50 + -48x = 15 + 0
-50 + -48x = 15

Add '50' to each side of the equation.
-50 + 50 + -48x = 15 + 50

Combine like terms: -50 + 50 = 0
0 + -48x = 15 + 50
-48x = 15 + 50

Combine like terms: 15 + 50 = 65
-48x = 65

Divide each side by '-48'.
x = -1.354166667

Simplifying
x = -1.354166667

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