5x-3+7=3x-1

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Solution for 5x-3+7=3x-1 equation:


Simplifying
5x + -3 + 7 = 3x + -1

Reorder the terms:
-3 + 7 + 5x = 3x + -1

Combine like terms: -3 + 7 = 4
4 + 5x = 3x + -1

Reorder the terms:
4 + 5x = -1 + 3x

Solving
4 + 5x = -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.
4 + 5x + -3x = -1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
4 + 2x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 2x = -1 + 0
4 + 2x = -1

Add '-4' to each side of the equation.
4 + -4 + 2x = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -1 + -4
2x = -1 + -4

Combine like terms: -1 + -4 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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