-(x-18)+2(x+3)=6(x-1)

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Solution for -(x-18)+2(x+3)=6(x-1) equation:


Simplifying
-1(x + -18) + 2(x + 3) = 6(x + -1)

Reorder the terms:
-1(-18 + x) + 2(x + 3) = 6(x + -1)
(-18 * -1 + x * -1) + 2(x + 3) = 6(x + -1)
(18 + -1x) + 2(x + 3) = 6(x + -1)

Reorder the terms:
18 + -1x + 2(3 + x) = 6(x + -1)
18 + -1x + (3 * 2 + x * 2) = 6(x + -1)
18 + -1x + (6 + 2x) = 6(x + -1)

Reorder the terms:
18 + 6 + -1x + 2x = 6(x + -1)

Combine like terms: 18 + 6 = 24
24 + -1x + 2x = 6(x + -1)

Combine like terms: -1x + 2x = 1x
24 + 1x = 6(x + -1)

Reorder the terms:
24 + 1x = 6(-1 + x)
24 + 1x = (-1 * 6 + x * 6)
24 + 1x = (-6 + 6x)

Solving
24 + 1x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + 1x + -6x = -6 + 6x + -6x

Combine like terms: 1x + -6x = -5x
24 + -5x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -5x = -6 + 0
24 + -5x = -6

Add '-24' to each side of the equation.
24 + -24 + -5x = -6 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = -6 + -24
-5x = -6 + -24

Combine like terms: -6 + -24 = -30
-5x = -30

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

Simplifying
x = 6

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