x+18=5(x-6)

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Solution for x+18=5(x-6) equation:


Simplifying
x + 18 = 5(x + -6)

Reorder the terms:
18 + x = 5(x + -6)

Reorder the terms:
18 + x = 5(-6 + x)
18 + x = (-6 * 5 + x * 5)
18 + x = (-30 + 5x)

Solving
18 + x = -30 + 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.
18 + x + -5x = -30 + 5x + -5x

Combine like terms: x + -5x = -4x
18 + -4x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -4x = -30 + 0
18 + -4x = -30

Add '-18' to each side of the equation.
18 + -18 + -4x = -30 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = -30 + -18
-4x = -30 + -18

Combine like terms: -30 + -18 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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