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

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


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

Reorder the terms:
-5(-1 + 2x) + 2 = -3(4x + -1) + -3x
(-1 * -5 + 2x * -5) + 2 = -3(4x + -1) + -3x
(5 + -10x) + 2 = -3(4x + -1) + -3x

Reorder the terms:
5 + 2 + -10x = -3(4x + -1) + -3x

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

Reorder the terms:
7 + -10x = -3(-1 + 4x) + -3x
7 + -10x = (-1 * -3 + 4x * -3) + -3x
7 + -10x = (3 + -12x) + -3x

Combine like terms: -12x + -3x = -15x
7 + -10x = 3 + -15x

Solving
7 + -10x = 3 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
7 + -10x + 15x = 3 + -15x + 15x

Combine like terms: -10x + 15x = 5x
7 + 5x = 3 + -15x + 15x

Combine like terms: -15x + 15x = 0
7 + 5x = 3 + 0
7 + 5x = 3

Add '-7' to each side of the equation.
7 + -7 + 5x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 3 + -7
5x = 3 + -7

Combine like terms: 3 + -7 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8

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