(38x-14)=(26x+22)

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Solution for (38x-14)=(26x+22) equation:


Simplifying
(38x + -14) = (26x + 22)

Reorder the terms:
(-14 + 38x) = (26x + 22)

Remove parenthesis around (-14 + 38x)
-14 + 38x = (26x + 22)

Reorder the terms:
-14 + 38x = (22 + 26x)

Remove parenthesis around (22 + 26x)
-14 + 38x = 22 + 26x

Solving
-14 + 38x = 22 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
-14 + 38x + -26x = 22 + 26x + -26x

Combine like terms: 38x + -26x = 12x
-14 + 12x = 22 + 26x + -26x

Combine like terms: 26x + -26x = 0
-14 + 12x = 22 + 0
-14 + 12x = 22

Add '14' to each side of the equation.
-14 + 14 + 12x = 22 + 14

Combine like terms: -14 + 14 = 0
0 + 12x = 22 + 14
12x = 22 + 14

Combine like terms: 22 + 14 = 36
12x = 36

Divide each side by '12'.
x = 3

Simplifying
x = 3

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