6(5-x)-12=2x-3(4+x)

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Solution for 6(5-x)-12=2x-3(4+x) equation:


Simplifying
6(5 + -1x) + -12 = 2x + -3(4 + x)
(5 * 6 + -1x * 6) + -12 = 2x + -3(4 + x)
(30 + -6x) + -12 = 2x + -3(4 + x)

Reorder the terms:
30 + -12 + -6x = 2x + -3(4 + x)

Combine like terms: 30 + -12 = 18
18 + -6x = 2x + -3(4 + x)
18 + -6x = 2x + (4 * -3 + x * -3)
18 + -6x = 2x + (-12 + -3x)

Reorder the terms:
18 + -6x = -12 + 2x + -3x

Combine like terms: 2x + -3x = -1x
18 + -6x = -12 + -1x

Solving
18 + -6x = -12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
18 + -6x + x = -12 + -1x + x

Combine like terms: -6x + x = -5x
18 + -5x = -12 + -1x + x

Combine like terms: -1x + x = 0
18 + -5x = -12 + 0
18 + -5x = -12

Add '-18' to each side of the equation.
18 + -18 + -5x = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = -12 + -18
-5x = -12 + -18

Combine like terms: -12 + -18 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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