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

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Solution for -2(-1+3x)+5=7x+4(-2x-2) equation:


Simplifying
-2(-1 + 3x) + 5 = 7x + 4(-2x + -2)
(-1 * -2 + 3x * -2) + 5 = 7x + 4(-2x + -2)
(2 + -6x) + 5 = 7x + 4(-2x + -2)

Reorder the terms:
2 + 5 + -6x = 7x + 4(-2x + -2)

Combine like terms: 2 + 5 = 7
7 + -6x = 7x + 4(-2x + -2)

Reorder the terms:
7 + -6x = 7x + 4(-2 + -2x)
7 + -6x = 7x + (-2 * 4 + -2x * 4)
7 + -6x = 7x + (-8 + -8x)

Reorder the terms:
7 + -6x = -8 + 7x + -8x

Combine like terms: 7x + -8x = -1x
7 + -6x = -8 + -1x

Solving
7 + -6x = -8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
7 + -6x + x = -8 + -1x + x

Combine like terms: -6x + x = -5x
7 + -5x = -8 + -1x + x

Combine like terms: -1x + x = 0
7 + -5x = -8 + 0
7 + -5x = -8

Add '-7' to each side of the equation.
7 + -7 + -5x = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -8 + -7
-5x = -8 + -7

Combine like terms: -8 + -7 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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