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

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


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

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

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

Combine like terms: -12 + -2 = -14
-14 + -3x = -2(x + -5)

Reorder the terms:
-14 + -3x = -2(-5 + x)
-14 + -3x = (-5 * -2 + x * -2)
-14 + -3x = (10 + -2x)

Solving
-14 + -3x = 10 + -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.
-14 + -3x + 2x = 10 + -2x + 2x

Combine like terms: -3x + 2x = -1x
-14 + -1x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + -1x = 10 + 0
-14 + -1x = 10

Add '14' to each side of the equation.
-14 + 14 + -1x = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 10 + 14
-1x = 10 + 14

Combine like terms: 10 + 14 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24

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