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

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


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

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

Combine like terms: 2x + 2x = 4x
-18 + 4x = 3 + -3(2x + -2)

Reorder the terms:
-18 + 4x = 3 + -3(-2 + 2x)
-18 + 4x = 3 + (-2 * -3 + 2x * -3)
-18 + 4x = 3 + (6 + -6x)

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

Solving
-18 + 4x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-18 + 4x + 6x = 9 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-18 + 10x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 10x = 9 + 0
-18 + 10x = 9

Add '18' to each side of the equation.
-18 + 18 + 10x = 9 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 9 + 18
10x = 9 + 18

Combine like terms: 9 + 18 = 27
10x = 27

Divide each side by '10'.
x = 2.7

Simplifying
x = 2.7

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