18-(12-x)=4x+(x-18)

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Solution for 18-(12-x)=4x+(x-18) equation:


Simplifying
18 + -1(12 + -1x) = 4x + (x + -18)
18 + (12 * -1 + -1x * -1) = 4x + (x + -18)
18 + (-12 + 1x) = 4x + (x + -18)

Combine like terms: 18 + -12 = 6
6 + 1x = 4x + (x + -18)

Reorder the terms:
6 + 1x = 4x + (-18 + x)

Remove parenthesis around (-18 + x)
6 + 1x = 4x + -18 + x

Reorder the terms:
6 + 1x = -18 + 4x + x

Combine like terms: 4x + x = 5x
6 + 1x = -18 + 5x

Solving
6 + 1x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 1x + -5x = -18 + 5x + -5x

Combine like terms: 1x + -5x = -4x
6 + -4x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -4x = -18 + 0
6 + -4x = -18

Add '-6' to each side of the equation.
6 + -6 + -4x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -18 + -6
-4x = -18 + -6

Combine like terms: -18 + -6 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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