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

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


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

Reorder the terms:
-7(2 + -2x) + -3x = 3(x + -1) + -5
(2 * -7 + -2x * -7) + -3x = 3(x + -1) + -5
(-14 + 14x) + -3x = 3(x + -1) + -5

Combine like terms: 14x + -3x = 11x
-14 + 11x = 3(x + -1) + -5

Reorder the terms:
-14 + 11x = 3(-1 + x) + -5
-14 + 11x = (-1 * 3 + x * 3) + -5
-14 + 11x = (-3 + 3x) + -5

Reorder the terms:
-14 + 11x = -3 + -5 + 3x

Combine like terms: -3 + -5 = -8
-14 + 11x = -8 + 3x

Solving
-14 + 11x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-14 + 11x + -3x = -8 + 3x + -3x

Combine like terms: 11x + -3x = 8x
-14 + 8x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-14 + 8x = -8 + 0
-14 + 8x = -8

Add '14' to each side of the equation.
-14 + 14 + 8x = -8 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = -8 + 14
8x = -8 + 14

Combine like terms: -8 + 14 = 6
8x = 6

Divide each side by '8'.
x = 0.75

Simplifying
x = 0.75

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