9x-1=7x+31

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Solution for 9x-1=7x+31 equation:


Simplifying
9x + -1 = 7x + 31

Reorder the terms:
-1 + 9x = 7x + 31

Reorder the terms:
-1 + 9x = 31 + 7x

Solving
-1 + 9x = 31 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-1 + 9x + -7x = 31 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-1 + 2x = 31 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + 2x = 31 + 0
-1 + 2x = 31

Add '1' to each side of the equation.
-1 + 1 + 2x = 31 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 31 + 1
2x = 31 + 1

Combine like terms: 31 + 1 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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