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

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


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

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

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

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

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

Solving
-7 + 3x = 3 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-7 + -2x = 3 + 0
-7 + -2x = 3

Add '7' to each side of the equation.
-7 + 7 + -2x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 3 + 7
-2x = 3 + 7

Combine like terms: 3 + 7 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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