6x+28=14x-52

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Solution for 6x+28=14x-52 equation:


Simplifying
6x + 28 = 14x + -52

Reorder the terms:
28 + 6x = 14x + -52

Reorder the terms:
28 + 6x = -52 + 14x

Solving
28 + 6x = -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.
28 + 6x + -14x = -52 + 14x + -14x

Combine like terms: 6x + -14x = -8x
28 + -8x = -52 + 14x + -14x

Combine like terms: 14x + -14x = 0
28 + -8x = -52 + 0
28 + -8x = -52

Add '-28' to each side of the equation.
28 + -28 + -8x = -52 + -28

Combine like terms: 28 + -28 = 0
0 + -8x = -52 + -28
-8x = -52 + -28

Combine like terms: -52 + -28 = -80
-8x = -80

Divide each side by '-8'.
x = 10

Simplifying
x = 10

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