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

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


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

Reorder the terms:
2(-3 + x) = 2x + 2 + -2(-9x + -3)
(-3 * 2 + x * 2) = 2x + 2 + -2(-9x + -3)
(-6 + 2x) = 2x + 2 + -2(-9x + -3)

Reorder the terms:
-6 + 2x = 2x + 2 + -2(-3 + -9x)
-6 + 2x = 2x + 2 + (-3 * -2 + -9x * -2)
-6 + 2x = 2x + 2 + (6 + 18x)

Reorder the terms:
-6 + 2x = 2 + 6 + 2x + 18x

Combine like terms: 2 + 6 = 8
-6 + 2x = 8 + 2x + 18x

Combine like terms: 2x + 18x = 20x
-6 + 2x = 8 + 20x

Solving
-6 + 2x = 8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + 2x + -20x = 8 + 20x + -20x

Combine like terms: 2x + -20x = -18x
-6 + -18x = 8 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + -18x = 8 + 0
-6 + -18x = 8

Add '6' to each side of the equation.
-6 + 6 + -18x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = 8 + 6
-18x = 8 + 6

Combine like terms: 8 + 6 = 14
-18x = 14

Divide each side by '-18'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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