5x-3=-2x+1

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Solution for 5x-3=-2x+1 equation:


Simplifying
5x + -3 = -2x + 1

Reorder the terms:
-3 + 5x = -2x + 1

Reorder the terms:
-3 + 5x = 1 + -2x

Solving
-3 + 5x = 1 + -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 = 1 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-3 + 7x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-3 + 7x = 1 + 0
-3 + 7x = 1

Add '3' to each side of the equation.
-3 + 3 + 7x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 1 + 3
7x = 1 + 3

Combine like terms: 1 + 3 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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