9x-(7x+9)=(3x-31)

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Solution for 9x-(7x+9)=(3x-31) equation:


Simplifying
9x + -1(7x + 9) = (3x + -31)

Reorder the terms:
9x + -1(9 + 7x) = (3x + -31)
9x + (9 * -1 + 7x * -1) = (3x + -31)
9x + (-9 + -7x) = (3x + -31)

Reorder the terms:
-9 + 9x + -7x = (3x + -31)

Combine like terms: 9x + -7x = 2x
-9 + 2x = (3x + -31)

Reorder the terms:
-9 + 2x = (-31 + 3x)

Remove parenthesis around (-31 + 3x)
-9 + 2x = -31 + 3x

Solving
-9 + 2x = -31 + 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.
-9 + 2x + -3x = -31 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-9 + -1x = -31 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -1x = -31 + 0
-9 + -1x = -31

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

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

Combine like terms: -31 + 9 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22

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