2(x-1)-4(x+1)=10

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Solution for 2(x-1)-4(x+1)=10 equation: 


Simplifying
2(x + -1) + -4(x + 1) = 10

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

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

Reorder the terms:
-2 + -4 + 2x + -4x = 10

Combine like terms: -2 + -4 = -6
-6 + 2x + -4x = 10

Combine like terms: 2x + -4x = -2x
-6 + -2x = 10

Solving
-6 + -2x = 10

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -2x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 10 + 6
-2x = 10 + 6

Combine like terms: 10 + 6 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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