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

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


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

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

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

Combine like terms: -6 + -1 = -7
-7 + -6x = -5(x + 1) + 3x

Reorder the terms:
-7 + -6x = -5(1 + x) + 3x
-7 + -6x = (1 * -5 + x * -5) + 3x
-7 + -6x = (-5 + -5x) + 3x

Combine like terms: -5x + 3x = -2x
-7 + -6x = -5 + -2x

Solving
-7 + -6x = -5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + -6x + 2x = -5 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-7 + -4x = -5 + 0
-7 + -4x = -5

Add '7' to each side of the equation.
-7 + 7 + -4x = -5 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -5 + 7
-4x = -5 + 7

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

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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