(x+1)=(9x-31)

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Solution for (x+1)=(9x-31) equation:


Simplifying
(x + 1) = (9x + -31)

Reorder the terms:
(1 + x) = (9x + -31)

Remove parenthesis around (1 + x)
1 + x = (9x + -31)

Reorder the terms:
1 + x = (-31 + 9x)

Remove parenthesis around (-31 + 9x)
1 + x = -31 + 9x

Solving
1 + x = -31 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
1 + x + -9x = -31 + 9x + -9x

Combine like terms: x + -9x = -8x
1 + -8x = -31 + 9x + -9x

Combine like terms: 9x + -9x = 0
1 + -8x = -31 + 0
1 + -8x = -31

Add '-1' to each side of the equation.
1 + -1 + -8x = -31 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = -31 + -1
-8x = -31 + -1

Combine like terms: -31 + -1 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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