-6(x+6)+x=9(-3-x)

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Solution for -6(x+6)+x=9(-3-x) equation:


Simplifying
-6(x + 6) + x = 9(-3 + -1x)

Reorder the terms:
-6(6 + x) + x = 9(-3 + -1x)
(6 * -6 + x * -6) + x = 9(-3 + -1x)
(-36 + -6x) + x = 9(-3 + -1x)

Combine like terms: -6x + x = -5x
-36 + -5x = 9(-3 + -1x)
-36 + -5x = (-3 * 9 + -1x * 9)
-36 + -5x = (-27 + -9x)

Solving
-36 + -5x = -27 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-36 + -5x + 9x = -27 + -9x + 9x

Combine like terms: -5x + 9x = 4x
-36 + 4x = -27 + -9x + 9x

Combine like terms: -9x + 9x = 0
-36 + 4x = -27 + 0
-36 + 4x = -27

Add '36' to each side of the equation.
-36 + 36 + 4x = -27 + 36

Combine like terms: -36 + 36 = 0
0 + 4x = -27 + 36
4x = -27 + 36

Combine like terms: -27 + 36 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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