3(2x-4)-4(2x+2)=10

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Solution for 3(2x-4)-4(2x+2)=10 equation: 


Simplifying
3(2x + -4) + -4(2x + 2) = 10

Reorder the terms:
3(-4 + 2x) + -4(2x + 2) = 10
(-4 * 3 + 2x * 3) + -4(2x + 2) = 10
(-12 + 6x) + -4(2x + 2) = 10

Reorder the terms:
-12 + 6x + -4(2 + 2x) = 10
-12 + 6x + (2 * -4 + 2x * -4) = 10
-12 + 6x + (-8 + -8x) = 10

Reorder the terms:
-12 + -8 + 6x + -8x = 10

Combine like terms: -12 + -8 = -20
-20 + 6x + -8x = 10

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