2(x-4x-22+10)=2x+24

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Solution for 2(x-4x-22+10)=2x+24 equation: 


Simplifying
2(x + -4x + -22 + 10) = 2x + 24

Reorder the terms:
2(-22 + 10 + x + -4x) = 2x + 24

Combine like terms: -22 + 10 = -12
2(-12 + x + -4x) = 2x + 24

Combine like terms: x + -4x = -3x
2(-12 + -3x) = 2x + 24
(-12 * 2 + -3x * 2) = 2x + 24
(-24 + -6x) = 2x + 24

Reorder the terms:
-24 + -6x = 24 + 2x

Solving
-24 + -6x = 24 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-24 + -6x + -2x = 24 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-24 + -8x = 24 + 0
-24 + -8x = 24

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

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

Combine like terms: 24 + 24 = 48
-8x = 48

Divide each side by '-8'.
x = -6

Simplifying
x = -6

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