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

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Solution for 2(x-1)-4(x+2)=8 equation: 


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

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

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

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

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

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

Solving
-10 + -2x = 8

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -2x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 8 + 10
-2x = 8 + 10

Combine like terms: 8 + 10 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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