3(3x-3)-12x=2(2-5x)

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Solution for 3(3x-3)-12x=2(2-5x) equation:


Simplifying
3(3x + -3) + -12x = 2(2 + -5x)

Reorder the terms:
3(-3 + 3x) + -12x = 2(2 + -5x)
(-3 * 3 + 3x * 3) + -12x = 2(2 + -5x)
(-9 + 9x) + -12x = 2(2 + -5x)

Combine like terms: 9x + -12x = -3x
-9 + -3x = 2(2 + -5x)
-9 + -3x = (2 * 2 + -5x * 2)
-9 + -3x = (4 + -10x)

Solving
-9 + -3x = 4 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-9 + -3x + 10x = 4 + -10x + 10x

Combine like terms: -3x + 10x = 7x
-9 + 7x = 4 + -10x + 10x

Combine like terms: -10x + 10x = 0
-9 + 7x = 4 + 0
-9 + 7x = 4

Add '9' to each side of the equation.
-9 + 9 + 7x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 4 + 9
7x = 4 + 9

Combine like terms: 4 + 9 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857

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