(3x-15)=(2x+7)

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Solution for (3x-15)=(2x+7) equation:


Simplifying
(3x + -15) = (2x + 7)

Reorder the terms:
(-15 + 3x) = (2x + 7)

Remove parenthesis around (-15 + 3x)
-15 + 3x = (2x + 7)

Reorder the terms:
-15 + 3x = (7 + 2x)

Remove parenthesis around (7 + 2x)
-15 + 3x = 7 + 2x

Solving
-15 + 3x = 7 + 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.
-15 + 3x + -2x = 7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = 7 + 0
-15 + 1x = 7

Add '15' to each side of the equation.
-15 + 15 + 1x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 7 + 15
1x = 7 + 15

Combine like terms: 7 + 15 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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