(3x-38)=(2x-15)

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Solution for (3x-38)=(2x-15) equation:


Simplifying
(3x + -38) = (2x + -15)

Reorder the terms:
(-38 + 3x) = (2x + -15)

Remove parenthesis around (-38 + 3x)
-38 + 3x = (2x + -15)

Reorder the terms:
-38 + 3x = (-15 + 2x)

Remove parenthesis around (-15 + 2x)
-38 + 3x = -15 + 2x

Solving
-38 + 3x = -15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-38 + 3x + -2x = -15 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-38 + 1x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-38 + 1x = -15 + 0
-38 + 1x = -15

Add '38' to each side of the equation.
-38 + 38 + 1x = -15 + 38

Combine like terms: -38 + 38 = 0
0 + 1x = -15 + 38
1x = -15 + 38

Combine like terms: -15 + 38 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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