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

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


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

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

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

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

Combine like terms: x + 2x = 3x
-6 + 2x = -18 + 3x

Solving
-6 + 2x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 2x + -3x = -18 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-6 + -1x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -1x = -18 + 0
-6 + -1x = -18

Add '6' to each side of the equation.
-6 + 6 + -1x = -18 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -18 + 6
-1x = -18 + 6

Combine like terms: -18 + 6 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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