5x-9=-2(x+6)-18

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Solution for 5x-9=-2(x+6)-18 equation:


Simplifying
5x + -9 = -2(x + 6) + -18

Reorder the terms:
-9 + 5x = -2(x + 6) + -18

Reorder the terms:
-9 + 5x = -2(6 + x) + -18
-9 + 5x = (6 * -2 + x * -2) + -18
-9 + 5x = (-12 + -2x) + -18

Reorder the terms:
-9 + 5x = -12 + -18 + -2x

Combine like terms: -12 + -18 = -30
-9 + 5x = -30 + -2x

Solving
-9 + 5x = -30 + -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.
-9 + 5x + 2x = -30 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-9 + 7x = -30 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 7x = -30 + 0
-9 + 7x = -30

Add '9' to each side of the equation.
-9 + 9 + 7x = -30 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = -30 + 9
7x = -30 + 9

Combine like terms: -30 + 9 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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