2(x-4)-4(x+2)=18

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Solution for 2(x-4)-4(x+2)=18 equation: 


Simplifying
2(x + -4) + -4(x + 2) = 18

Reorder the terms:
2(-4 + x) + -4(x + 2) = 18
(-4 * 2 + x * 2) + -4(x + 2) = 18
(-8 + 2x) + -4(x + 2) = 18

Reorder the terms:
-8 + 2x + -4(2 + x) = 18
-8 + 2x + (2 * -4 + x * -4) = 18
-8 + 2x + (-8 + -4x) = 18

Reorder the terms:
-8 + -8 + 2x + -4x = 18

Combine like terms: -8 + -8 = -16
-16 + 2x + -4x = 18

Combine like terms: 2x + -4x = -2x
-16 + -2x = 18

Solving
-16 + -2x = 18

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -2x = 18 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = 18 + 16
-2x = 18 + 16

Combine like terms: 18 + 16 = 34
-2x = 34

Divide each side by '-2'.
x = -17

Simplifying
x = -17

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