x+2(x-4)=24-x

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Solution for x+2(x-4)=24-x equation:


Simplifying
x + 2(x + -4) = 24 + -1x

Reorder the terms:
x + 2(-4 + x) = 24 + -1x
x + (-4 * 2 + x * 2) = 24 + -1x
x + (-8 + 2x) = 24 + -1x

Reorder the terms:
-8 + x + 2x = 24 + -1x

Combine like terms: x + 2x = 3x
-8 + 3x = 24 + -1x

Solving
-8 + 3x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 3x + x = 24 + -1x + x

Combine like terms: 3x + x = 4x
-8 + 4x = 24 + -1x + x

Combine like terms: -1x + x = 0
-8 + 4x = 24 + 0
-8 + 4x = 24

Add '8' to each side of the equation.
-8 + 8 + 4x = 24 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 24 + 8
4x = 24 + 8

Combine like terms: 24 + 8 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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