(3x-7)=(x+5)

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Solution for (3x-7)=(x+5) equation:


Simplifying
(3x + -7) = (x + 5)

Reorder the terms:
(-7 + 3x) = (x + 5)

Remove parenthesis around (-7 + 3x)
-7 + 3x = (x + 5)

Reorder the terms:
-7 + 3x = (5 + x)

Remove parenthesis around (5 + x)
-7 + 3x = 5 + x

Solving
-7 + 3x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 3x + -1x = 5 + x + -1x

Combine like terms: 3x + -1x = 2x
-7 + 2x = 5 + x + -1x

Combine like terms: x + -1x = 0
-7 + 2x = 5 + 0
-7 + 2x = 5

Add '7' to each side of the equation.
-7 + 7 + 2x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 5 + 7
2x = 5 + 7

Combine like terms: 5 + 7 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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