-6(x-18)+3(x+2)=x-8

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Solution for -6(x-18)+3(x+2)=x-8 equation: 


Simplifying
-6(x + -18) + 3(x + 2) = x + -8

Reorder the terms:
-6(-18 + x) + 3(x + 2) = x + -8
(-18 * -6 + x * -6) + 3(x + 2) = x + -8
(108 + -6x) + 3(x + 2) = x + -8

Reorder the terms:
108 + -6x + 3(2 + x) = x + -8
108 + -6x + (2 * 3 + x * 3) = x + -8
108 + -6x + (6 + 3x) = x + -8

Reorder the terms:
108 + 6 + -6x + 3x = x + -8

Combine like terms: 108 + 6 = 114
114 + -6x + 3x = x + -8

Combine like terms: -6x + 3x = -3x
114 + -3x = x + -8

Reorder the terms:
114 + -3x = -8 + x

Solving
114 + -3x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
114 + -3x + -1x = -8 + x + -1x

Combine like terms: -3x + -1x = -4x
114 + -4x = -8 + x + -1x

Combine like terms: x + -1x = 0
114 + -4x = -8 + 0
114 + -4x = -8

Add '-114' to each side of the equation.
114 + -114 + -4x = -8 + -114

Combine like terms: 114 + -114 = 0
0 + -4x = -8 + -114
-4x = -8 + -114

Combine like terms: -8 + -114 = -122
-4x = -122

Divide each side by '-4'.
x = 30.5

Simplifying
x = 30.5

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