3(x-3)-9x-4=2x+12

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Solution for 3(x-3)-9x-4=2x+12 equation:


Simplifying
3(x + -3) + -9x + -4 = 2x + 12

Reorder the terms:
3(-3 + x) + -9x + -4 = 2x + 12
(-3 * 3 + x * 3) + -9x + -4 = 2x + 12
(-9 + 3x) + -9x + -4 = 2x + 12

Reorder the terms:
-9 + -4 + 3x + -9x = 2x + 12

Combine like terms: -9 + -4 = -13
-13 + 3x + -9x = 2x + 12

Combine like terms: 3x + -9x = -6x
-13 + -6x = 2x + 12

Reorder the terms:
-13 + -6x = 12 + 2x

Solving
-13 + -6x = 12 + 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.
-13 + -6x + -2x = 12 + 2x + -2x

Combine like terms: -6x + -2x = -8x
-13 + -8x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + -8x = 12 + 0
-13 + -8x = 12

Add '13' to each side of the equation.
-13 + 13 + -8x = 12 + 13

Combine like terms: -13 + 13 = 0
0 + -8x = 12 + 13
-8x = 12 + 13

Combine like terms: 12 + 13 = 25
-8x = 25

Divide each side by '-8'.
x = -3.125

Simplifying
x = -3.125

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