(6x+14)=(28x-36)

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Solution for (6x+14)=(28x-36) equation:


Simplifying
(6x + 14) = (28x + -36)

Reorder the terms:
(14 + 6x) = (28x + -36)

Remove parenthesis around (14 + 6x)
14 + 6x = (28x + -36)

Reorder the terms:
14 + 6x = (-36 + 28x)

Remove parenthesis around (-36 + 28x)
14 + 6x = -36 + 28x

Solving
14 + 6x = -36 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
14 + 6x + -28x = -36 + 28x + -28x

Combine like terms: 6x + -28x = -22x
14 + -22x = -36 + 28x + -28x

Combine like terms: 28x + -28x = 0
14 + -22x = -36 + 0
14 + -22x = -36

Add '-14' to each side of the equation.
14 + -14 + -22x = -36 + -14

Combine like terms: 14 + -14 = 0
0 + -22x = -36 + -14
-22x = -36 + -14

Combine like terms: -36 + -14 = -50
-22x = -50

Divide each side by '-22'.
x = 2.272727273

Simplifying
x = 2.272727273

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