5x+1=2x-3

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


Simplifying
5x + 1 = 2x + -3

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

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

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

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

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

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

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

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