(9x-14)=(5x+38)

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Solution for (9x-14)=(5x+38) equation:


Simplifying
(9x + -14) = (5x + 38)

Reorder the terms:
(-14 + 9x) = (5x + 38)

Remove parenthesis around (-14 + 9x)
-14 + 9x = (5x + 38)

Reorder the terms:
-14 + 9x = (38 + 5x)

Remove parenthesis around (38 + 5x)
-14 + 9x = 38 + 5x

Solving
-14 + 9x = 38 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + 9x + -5x = 38 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-14 + 4x = 38 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 4x = 38 + 0
-14 + 4x = 38

Add '14' to each side of the equation.
-14 + 14 + 4x = 38 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 38 + 14
4x = 38 + 14

Combine like terms: 38 + 14 = 52
4x = 52

Divide each side by '4'.
x = 13

Simplifying
x = 13

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