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

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


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

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

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

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

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

Solving
-3 + 5x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 5x + -2x = 7 + 2x + -2x

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

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

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

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

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

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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