2(x-8)-4(3x+6)=30

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Solution for 2(x-8)-4(3x+6)=30 equation: 


Simplifying
2(x + -8) + -4(3x + 6) = 30

Reorder the terms:
2(-8 + x) + -4(3x + 6) = 30
(-8 * 2 + x * 2) + -4(3x + 6) = 30
(-16 + 2x) + -4(3x + 6) = 30

Reorder the terms:
-16 + 2x + -4(6 + 3x) = 30
-16 + 2x + (6 * -4 + 3x * -4) = 30
-16 + 2x + (-24 + -12x) = 30

Reorder the terms:
-16 + -24 + 2x + -12x = 30

Combine like terms: -16 + -24 = -40
-40 + 2x + -12x = 30

Combine like terms: 2x + -12x = -10x
-40 + -10x = 30

Solving
-40 + -10x = 30

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + -10x = 30 + 40

Combine like terms: -40 + 40 = 0
0 + -10x = 30 + 40
-10x = 30 + 40

Combine like terms: 30 + 40 = 70
-10x = 70

Divide each side by '-10'.
x = -7

Simplifying
x = -7

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