2(x-1)-3(2x-8)=30

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Solution for 2(x-1)-3(2x-8)=30 equation: 


Simplifying
2(x + -1) + -3(2x + -8) = 30

Reorder the terms:
2(-1 + x) + -3(2x + -8) = 30
(-1 * 2 + x * 2) + -3(2x + -8) = 30
(-2 + 2x) + -3(2x + -8) = 30

Reorder the terms:
-2 + 2x + -3(-8 + 2x) = 30
-2 + 2x + (-8 * -3 + 2x * -3) = 30
-2 + 2x + (24 + -6x) = 30

Reorder the terms:
-2 + 24 + 2x + -6x = 30

Combine like terms: -2 + 24 = 22
22 + 2x + -6x = 30

Combine like terms: 2x + -6x = -4x
22 + -4x = 30

Solving
22 + -4x = 30

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -4x = 30 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = 30 + -22
-4x = 30 + -22

Combine like terms: 30 + -22 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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