5x+18=14x-90

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Solution for 5x+18=14x-90 equation:


Simplifying
5x + 18 = 14x + -90

Reorder the terms:
18 + 5x = 14x + -90

Reorder the terms:
18 + 5x = -90 + 14x

Solving
18 + 5x = -90 + 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.
18 + 5x + -14x = -90 + 14x + -14x

Combine like terms: 5x + -14x = -9x
18 + -9x = -90 + 14x + -14x

Combine like terms: 14x + -14x = 0
18 + -9x = -90 + 0
18 + -9x = -90

Add '-18' to each side of the equation.
18 + -18 + -9x = -90 + -18

Combine like terms: 18 + -18 = 0
0 + -9x = -90 + -18
-9x = -90 + -18

Combine like terms: -90 + -18 = -108
-9x = -108

Divide each side by '-9'.
x = 12

Simplifying
x = 12

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