15-4(x+6)=9-x

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Solution for 15-4(x+6)=9-x equation:


Simplifying
15 + -4(x + 6) = 9 + -1x

Reorder the terms:
15 + -4(6 + x) = 9 + -1x
15 + (6 * -4 + x * -4) = 9 + -1x
15 + (-24 + -4x) = 9 + -1x

Combine like terms: 15 + -24 = -9
-9 + -4x = 9 + -1x

Solving
-9 + -4x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + -4x + x = 9 + -1x + x

Combine like terms: -4x + x = -3x
-9 + -3x = 9 + -1x + x

Combine like terms: -1x + x = 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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