5x+1=-(x-31)

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


Simplifying
5x + 1 = -1(x + -31)

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

Reorder the terms:
1 + 5x = -1(-31 + x)
1 + 5x = (-31 * -1 + x * -1)
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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