5x+28=14x-71

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Solution for 5x+28=14x-71 equation:


Simplifying
5x + 28 = 14x + -71

Reorder the terms:
28 + 5x = 14x + -71

Reorder the terms:
28 + 5x = -71 + 14x

Solving
28 + 5x = -71 + 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 + 5x + -14x = -71 + 14x + -14x

Combine like terms: 5x + -14x = -9x
28 + -9x = -71 + 14x + -14x

Combine like terms: 14x + -14x = 0
28 + -9x = -71 + 0
28 + -9x = -71

Add '-28' to each side of the equation.
28 + -28 + -9x = -71 + -28

Combine like terms: 28 + -28 = 0
0 + -9x = -71 + -28
-9x = -71 + -28

Combine like terms: -71 + -28 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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