(x-2)+2(x-2)-24=0

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Solution for (x-2)+2(x-2)-24=0 equation:


Simplifying
(x + -2) + 2(x + -2) + -24 = 0

Reorder the terms:
(-2 + x) + 2(x + -2) + -24 = 0

Remove parenthesis around (-2 + x)
-2 + x + 2(x + -2) + -24 = 0

Reorder the terms:
-2 + x + 2(-2 + x) + -24 = 0
-2 + x + (-2 * 2 + x * 2) + -24 = 0
-2 + x + (-4 + 2x) + -24 = 0

Reorder the terms:
-2 + -4 + -24 + x + 2x = 0

Combine like terms: -2 + -4 = -6
-6 + -24 + x + 2x = 0

Combine like terms: -6 + -24 = -30
-30 + x + 2x = 0

Combine like terms: x + 2x = 3x
-30 + 3x = 0

Solving
-30 + 3x = 0

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 3x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 3x = 0 + 30
3x = 0 + 30

Combine like terms: 0 + 30 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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