-30(4x-2)+18(4x-2)-14=250

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Solution for -30(4x-2)+18(4x-2)-14=250 equation: 


Simplifying
-30(4x + -2) + 18(4x + -2) + -14 = 250

Reorder the terms:
-30(-2 + 4x) + 18(4x + -2) + -14 = 250
(-2 * -30 + 4x * -30) + 18(4x + -2) + -14 = 250
(60 + -120x) + 18(4x + -2) + -14 = 250

Reorder the terms:
60 + -120x + 18(-2 + 4x) + -14 = 250
60 + -120x + (-2 * 18 + 4x * 18) + -14 = 250
60 + -120x + (-36 + 72x) + -14 = 250

Reorder the terms:
60 + -36 + -14 + -120x + 72x = 250

Combine like terms: 60 + -36 = 24
24 + -14 + -120x + 72x = 250

Combine like terms: 24 + -14 = 10
10 + -120x + 72x = 250

Combine like terms: -120x + 72x = -48x
10 + -48x = 250

Solving
10 + -48x = 250

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -48x = 250 + -10

Combine like terms: 10 + -10 = 0
0 + -48x = 250 + -10
-48x = 250 + -10

Combine like terms: 250 + -10 = 240
-48x = 240

Divide each side by '-48'.
x = -5

Simplifying
x = -5

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