8-2(x+3)=24-(x-6)

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Solution for 8-2(x+3)=24-(x-6) equation:


Simplifying
8 + -2(x + 3) = 24 + -1(x + -6)

Reorder the terms:
8 + -2(3 + x) = 24 + -1(x + -6)
8 + (3 * -2 + x * -2) = 24 + -1(x + -6)
8 + (-6 + -2x) = 24 + -1(x + -6)

Combine like terms: 8 + -6 = 2
2 + -2x = 24 + -1(x + -6)

Reorder the terms:
2 + -2x = 24 + -1(-6 + x)
2 + -2x = 24 + (-6 * -1 + x * -1)
2 + -2x = 24 + (6 + -1x)

Combine like terms: 24 + 6 = 30
2 + -2x = 30 + -1x

Solving
2 + -2x = 30 + -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.
2 + -2x + x = 30 + -1x + x

Combine like terms: -2x + x = -1x
2 + -1x = 30 + -1x + x

Combine like terms: -1x + x = 0
2 + -1x = 30 + 0
2 + -1x = 30

Add '-2' to each side of the equation.
2 + -2 + -1x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 30 + -2
-1x = 30 + -2

Combine like terms: 30 + -2 = 28
-1x = 28

Divide each side by '-1'.
x = -28

Simplifying
x = -28

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