15-2(x+3)=x-9

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Solution for 15-2(x+3)=x-9 equation:


Simplifying
15 + -2(x + 3) = x + -9

Reorder the terms:
15 + -2(3 + x) = x + -9
15 + (3 * -2 + x * -2) = x + -9
15 + (-6 + -2x) = x + -9

Combine like terms: 15 + -6 = 9
9 + -2x = x + -9

Reorder the terms:
9 + -2x = -9 + x

Solving
9 + -2x = -9 + 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.
9 + -2x + -1x = -9 + x + -1x

Combine like terms: -2x + -1x = -3x
9 + -3x = -9 + x + -1x

Combine like terms: x + -1x = 0
9 + -3x = -9 + 0
9 + -3x = -9

Add '-9' to each side of the equation.
9 + -9 + -3x = -9 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -9 + -9
-3x = -9 + -9

Combine like terms: -9 + -9 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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