5(4x-12)=14x+30

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Solution for 5(4x-12)=14x+30 equation:


Simplifying
5(4x + -12) = 14x + 30

Reorder the terms:
5(-12 + 4x) = 14x + 30
(-12 * 5 + 4x * 5) = 14x + 30
(-60 + 20x) = 14x + 30

Reorder the terms:
-60 + 20x = 30 + 14x

Solving
-60 + 20x = 30 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-60 + 20x + -14x = 30 + 14x + -14x

Combine like terms: 20x + -14x = 6x
-60 + 6x = 30 + 14x + -14x

Combine like terms: 14x + -14x = 0
-60 + 6x = 30 + 0
-60 + 6x = 30

Add '60' to each side of the equation.
-60 + 60 + 6x = 30 + 60

Combine like terms: -60 + 60 = 0
0 + 6x = 30 + 60
6x = 30 + 60

Combine like terms: 30 + 60 = 90
6x = 90

Divide each side by '6'.
x = 15

Simplifying
x = 15

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