5x-2=-2x+3

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Solution for 5x-2=-2x+3 equation:


Simplifying
5x + -2 = -2x + 3

Reorder the terms:
-2 + 5x = -2x + 3

Reorder the terms:
-2 + 5x = 3 + -2x

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

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

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

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

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

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

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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