-3(-2x-8)+3x=-4(-x-10)+4

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Solution for -3(-2x-8)+3x=-4(-x-10)+4 equation:


Simplifying
-3(-2x + -8) + 3x = -4(-1x + -10) + 4

Reorder the terms:
-3(-8 + -2x) + 3x = -4(-1x + -10) + 4
(-8 * -3 + -2x * -3) + 3x = -4(-1x + -10) + 4
(24 + 6x) + 3x = -4(-1x + -10) + 4

Combine like terms: 6x + 3x = 9x
24 + 9x = -4(-1x + -10) + 4

Reorder the terms:
24 + 9x = -4(-10 + -1x) + 4
24 + 9x = (-10 * -4 + -1x * -4) + 4
24 + 9x = (40 + 4x) + 4

Reorder the terms:
24 + 9x = 40 + 4 + 4x

Combine like terms: 40 + 4 = 44
24 + 9x = 44 + 4x

Solving
24 + 9x = 44 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 9x + -4x = 44 + 4x + -4x

Combine like terms: 9x + -4x = 5x
24 + 5x = 44 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 5x = 44 + 0
24 + 5x = 44

Add '-24' to each side of the equation.
24 + -24 + 5x = 44 + -24

Combine like terms: 24 + -24 = 0
0 + 5x = 44 + -24
5x = 44 + -24

Combine like terms: 44 + -24 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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