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

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


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

Reorder the terms:
-3(-4 + x) + -5 = -2(x + 2)
(-4 * -3 + x * -3) + -5 = -2(x + 2)
(12 + -3x) + -5 = -2(x + 2)

Reorder the terms:
12 + -5 + -3x = -2(x + 2)

Combine like terms: 12 + -5 = 7
7 + -3x = -2(x + 2)

Reorder the terms:
7 + -3x = -2(2 + x)
7 + -3x = (2 * -2 + x * -2)
7 + -3x = (-4 + -2x)

Solving
7 + -3x = -4 + -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 + -3x + 2x = -4 + -2x + 2x

Combine like terms: -3x + 2x = -1x
7 + -1x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + -1x = -4 + 0
7 + -1x = -4

Add '-7' to each side of the equation.
7 + -7 + -1x = -4 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -4 + -7
-1x = -4 + -7

Combine like terms: -4 + -7 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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