(5x+3)=(7x-9)

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Solution for (5x+3)=(7x-9) equation:


Simplifying
(5x + 3) = (7x + -9)

Reorder the terms:
(3 + 5x) = (7x + -9)

Remove parenthesis around (3 + 5x)
3 + 5x = (7x + -9)

Reorder the terms:
3 + 5x = (-9 + 7x)

Remove parenthesis around (-9 + 7x)
3 + 5x = -9 + 7x

Solving
3 + 5x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 5x + -7x = -9 + 7x + -7x

Combine like terms: 5x + -7x = -2x
3 + -2x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -2x = -9 + 0
3 + -2x = -9

Add '-3' to each side of the equation.
3 + -3 + -2x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -9 + -3
-2x = -9 + -3

Combine like terms: -9 + -3 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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