2(2x+1)-3(2x-4)=-30

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Solution for 2(2x+1)-3(2x-4)=-30 equation: 


Simplifying
2(2x + 1) + -3(2x + -4) = -30

Reorder the terms:
2(1 + 2x) + -3(2x + -4) = -30
(1 * 2 + 2x * 2) + -3(2x + -4) = -30
(2 + 4x) + -3(2x + -4) = -30

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

Reorder the terms:
2 + 12 + 4x + -6x = -30

Combine like terms: 2 + 12 = 14
14 + 4x + -6x = -30

Combine like terms: 4x + -6x = -2x
14 + -2x = -30

Solving
14 + -2x = -30

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -2x = -30 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -30 + -14
-2x = -30 + -14

Combine like terms: -30 + -14 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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