(x-18)=6-2(x+15)

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Solution for (x-18)=6-2(x+15) equation:


Simplifying
(x + -18) = 6 + -2(x + 15)

Reorder the terms:
(-18 + x) = 6 + -2(x + 15)

Remove parenthesis around (-18 + x)
-18 + x = 6 + -2(x + 15)

Reorder the terms:
-18 + x = 6 + -2(15 + x)
-18 + x = 6 + (15 * -2 + x * -2)
-18 + x = 6 + (-30 + -2x)

Combine like terms: 6 + -30 = -24
-18 + x = -24 + -2x

Solving
-18 + x = -24 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-18 + x + 2x = -24 + -2x + 2x

Combine like terms: x + 2x = 3x
-18 + 3x = -24 + -2x + 2x

Combine like terms: -2x + 2x = 0
-18 + 3x = -24 + 0
-18 + 3x = -24

Add '18' to each side of the equation.
-18 + 18 + 3x = -24 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = -24 + 18
3x = -24 + 18

Combine like terms: -24 + 18 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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