5=-3x+1

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Solution for 5=-3x+1 equation: 


Simplifying
5 = -3x + 1

Reorder the terms:
5 = 1 + -3x

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

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 1 + -5

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

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

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

Simplifying
x = -1.333333333

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