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

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


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

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

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

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

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

Solving
3 + 5x = -7 + 3x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = -5

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