(3x-7)=(2x+8)

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Solution for (3x-7)=(2x+8) equation:


Simplifying
(3x + -7) = (2x + 8)

Reorder the terms:
(-7 + 3x) = (2x + 8)

Remove parenthesis around (-7 + 3x)
-7 + 3x = (2x + 8)

Reorder the terms:
-7 + 3x = (8 + 2x)

Remove parenthesis around (8 + 2x)
-7 + 3x = 8 + 2x

Solving
-7 + 3x = 8 + 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.
-7 + 3x + -2x = 8 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-7 + 1x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 1x = 8 + 0
-7 + 1x = 8

Add '7' to each side of the equation.
-7 + 7 + 1x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 8 + 7
1x = 8 + 7

Combine like terms: 8 + 7 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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