2x-5=-3x+1

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


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

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

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

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

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

Combine like terms: -3x + 3x = 0
-5 + 5x = 1 + 0
-5 + 5x = 1

Add '5' to each side of the equation.
-5 + 5 + 5x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 1 + 5
5x = 1 + 5

Combine like terms: 1 + 5 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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