10(2x-6)=14x+52

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Solution for 10(2x-6)=14x+52 equation:


Simplifying
10(2x + -6) = 14x + 52

Reorder the terms:
10(-6 + 2x) = 14x + 52
(-6 * 10 + 2x * 10) = 14x + 52
(-60 + 20x) = 14x + 52

Reorder the terms:
-60 + 20x = 52 + 14x

Solving
-60 + 20x = 52 + 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 = 52 + 14x + -14x

Combine like terms: 20x + -14x = 6x
-60 + 6x = 52 + 14x + -14x

Combine like terms: 14x + -14x = 0
-60 + 6x = 52 + 0
-60 + 6x = 52

Add '60' to each side of the equation.
-60 + 60 + 6x = 52 + 60

Combine like terms: -60 + 60 = 0
0 + 6x = 52 + 60
6x = 52 + 60

Combine like terms: 52 + 60 = 112
6x = 112

Divide each side by '6'.
x = 18.66666667

Simplifying
x = 18.66666667

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