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

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


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

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

Reorder the terms:
12 + -1 + -3x = -2x + -2

Combine like terms: 12 + -1 = 11
11 + -3x = -2x + -2

Reorder the terms:
11 + -3x = -2 + -2x

Solving
11 + -3x = -2 + -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.
11 + -3x + 2x = -2 + -2x + 2x

Combine like terms: -3x + 2x = -1x
11 + -1x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + -1x = -2 + 0
11 + -1x = -2

Add '-11' to each side of the equation.
11 + -11 + -1x = -2 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -2 + -11
-1x = -2 + -11

Combine like terms: -2 + -11 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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