7x+14=28x-42

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Solution for 7x+14=28x-42 equation:


Simplifying
7x + 14 = 28x + -42

Reorder the terms:
14 + 7x = 28x + -42

Reorder the terms:
14 + 7x = -42 + 28x

Solving
14 + 7x = -42 + 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 + 7x + -28x = -42 + 28x + -28x

Combine like terms: 7x + -28x = -21x
14 + -21x = -42 + 28x + -28x

Combine like terms: 28x + -28x = 0
14 + -21x = -42 + 0
14 + -21x = -42

Add '-14' to each side of the equation.
14 + -14 + -21x = -42 + -14

Combine like terms: 14 + -14 = 0
0 + -21x = -42 + -14
-21x = -42 + -14

Combine like terms: -42 + -14 = -56
-21x = -56

Divide each side by '-21'.
x = 2.666666667

Simplifying
x = 2.666666667

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