3(x-3)-9=-3(-7x+4)-6x

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Solution for 3(x-3)-9=-3(-7x+4)-6x equation:


Simplifying
3(x + -3) + -9 = -3(-7x + 4) + -6x

Reorder the terms:
3(-3 + x) + -9 = -3(-7x + 4) + -6x
(-3 * 3 + x * 3) + -9 = -3(-7x + 4) + -6x
(-9 + 3x) + -9 = -3(-7x + 4) + -6x

Reorder the terms:
-9 + -9 + 3x = -3(-7x + 4) + -6x

Combine like terms: -9 + -9 = -18
-18 + 3x = -3(-7x + 4) + -6x

Reorder the terms:
-18 + 3x = -3(4 + -7x) + -6x
-18 + 3x = (4 * -3 + -7x * -3) + -6x
-18 + 3x = (-12 + 21x) + -6x

Combine like terms: 21x + -6x = 15x
-18 + 3x = -12 + 15x

Solving
-18 + 3x = -12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-18 + 3x + -15x = -12 + 15x + -15x

Combine like terms: 3x + -15x = -12x
-18 + -12x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
-18 + -12x = -12 + 0
-18 + -12x = -12

Add '18' to each side of the equation.
-18 + 18 + -12x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + -12x = -12 + 18
-12x = -12 + 18

Combine like terms: -12 + 18 = 6
-12x = 6

Divide each side by '-12'.
x = -0.5

Simplifying
x = -0.5

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