(2x-4)-(x+8)=24

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Solution for (2x-4)-(x+8)=24 equation:


Simplifying
(2x + -4) + -1(x + 8) = 24

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

Remove parenthesis around (-4 + 2x)
-4 + 2x + -1(x + 8) = 24

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

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

Combine like terms: -4 + -8 = -12
-12 + 2x + -1x = 24

Combine like terms: 2x + -1x = 1x
-12 + 1x = 24

Solving
-12 + 1x = 24

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 1x = 24 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 24 + 12
1x = 24 + 12

Combine like terms: 24 + 12 = 36
1x = 36

Divide each side by '1'.
x = 36

Simplifying
x = 36

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