5x+1=31-x

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Solution for 5x+1=31-x equation:


Simplifying
5x + 1 = 31 + -1x

Reorder the terms:
1 + 5x = 31 + -1x

Solving
1 + 5x = 31 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
1 + 5x + x = 31 + -1x + x

Combine like terms: 5x + x = 6x
1 + 6x = 31 + -1x + x

Combine like terms: -1x + x = 0
1 + 6x = 31 + 0
1 + 6x = 31

Add '-1' to each side of the equation.
1 + -1 + 6x = 31 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 31 + -1
6x = 31 + -1

Combine like terms: 31 + -1 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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