2(x-5)-12=10-(4x+8)

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Solution for 2(x-5)-12=10-(4x+8) equation: 


Simplifying
2(x + -5) + -12 = 10 + -1(4x + 8)

Reorder the terms:
2(-5 + x) + -12 = 10 + -1(4x + 8)
(-5 * 2 + x * 2) + -12 = 10 + -1(4x + 8)
(-10 + 2x) + -12 = 10 + -1(4x + 8)

Reorder the terms:
-10 + -12 + 2x = 10 + -1(4x + 8)

Combine like terms: -10 + -12 = -22
-22 + 2x = 10 + -1(4x + 8)

Reorder the terms:
-22 + 2x = 10 + -1(8 + 4x)
-22 + 2x = 10 + (8 * -1 + 4x * -1)
-22 + 2x = 10 + (-8 + -4x)

Combine like terms: 10 + -8 = 2
-22 + 2x = 2 + -4x

Solving
-22 + 2x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-22 + 2x + 4x = 2 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-22 + 6x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-22 + 6x = 2 + 0
-22 + 6x = 2

Add '22' to each side of the equation.
-22 + 22 + 6x = 2 + 22

Combine like terms: -22 + 22 = 0
0 + 6x = 2 + 22
6x = 2 + 22

Combine like terms: 2 + 22 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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