(5x-2)=(3x+7)

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Solution for (5x-2)=(3x+7) equation:


Simplifying
(5x + -2) = (3x + 7)

Reorder the terms:
(-2 + 5x) = (3x + 7)

Remove parenthesis around (-2 + 5x)
-2 + 5x = (3x + 7)

Reorder the terms:
-2 + 5x = (7 + 3x)

Remove parenthesis around (7 + 3x)
-2 + 5x = 7 + 3x

Solving
-2 + 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.
-2 + 5x + -3x = 7 + 3x + -3x

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

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

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

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

Combine like terms: 7 + 2 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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