2(x-9)-3=-3(-7x+3)-9x

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Solution for 2(x-9)-3=-3(-7x+3)-9x equation:


Simplifying
2(x + -9) + -3 = -3(-7x + 3) + -9x

Reorder the terms:
2(-9 + x) + -3 = -3(-7x + 3) + -9x
(-9 * 2 + x * 2) + -3 = -3(-7x + 3) + -9x
(-18 + 2x) + -3 = -3(-7x + 3) + -9x

Reorder the terms:
-18 + -3 + 2x = -3(-7x + 3) + -9x

Combine like terms: -18 + -3 = -21
-21 + 2x = -3(-7x + 3) + -9x

Reorder the terms:
-21 + 2x = -3(3 + -7x) + -9x
-21 + 2x = (3 * -3 + -7x * -3) + -9x
-21 + 2x = (-9 + 21x) + -9x

Combine like terms: 21x + -9x = 12x
-21 + 2x = -9 + 12x

Solving
-21 + 2x = -9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-21 + 2x + -12x = -9 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-21 + -10x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-21 + -10x = -9 + 0
-21 + -10x = -9

Add '21' to each side of the equation.
-21 + 21 + -10x = -9 + 21

Combine like terms: -21 + 21 = 0
0 + -10x = -9 + 21
-10x = -9 + 21

Combine like terms: -9 + 21 = 12
-10x = 12

Divide each side by '-10'.
x = -1.2

Simplifying
x = -1.2

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