2(x-6)-4(x+2)=10

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Solution for 2(x-6)-4(x+2)=10 equation: 


Simplifying
2(x + -6) + -4(x + 2) = 10

Reorder the terms:
2(-6 + x) + -4(x + 2) = 10
(-6 * 2 + x * 2) + -4(x + 2) = 10
(-12 + 2x) + -4(x + 2) = 10

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

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

Combine like terms: -12 + -8 = -20
-20 + 2x + -4x = 10

Combine like terms: 2x + -4x = -2x
-20 + -2x = 10

Solving
-20 + -2x = 10

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + -2x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = 10 + 20
-2x = 10 + 20

Combine like terms: 10 + 20 = 30
-2x = 30

Divide each side by '-2'.
x = -15

Simplifying
x = -15

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