7x-9(x-1)=2x+31

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Solution for 7x-9(x-1)=2x+31 equation:


Simplifying
7x + -9(x + -1) = 2x + 31

Reorder the terms:
7x + -9(-1 + x) = 2x + 31
7x + (-1 * -9 + x * -9) = 2x + 31
7x + (9 + -9x) = 2x + 31

Reorder the terms:
9 + 7x + -9x = 2x + 31

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

Reorder the terms:
9 + -2x = 31 + 2x

Solving
9 + -2x = 31 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -2x + -2x = 31 + 2x + -2x

Combine like terms: -2x + -2x = -4x
9 + -4x = 31 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -4x = 31 + 0
9 + -4x = 31

Add '-9' to each side of the equation.
9 + -9 + -4x = 31 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 31 + -9
-4x = 31 + -9

Combine like terms: 31 + -9 = 22
-4x = 22

Divide each side by '-4'.
x = -5.5

Simplifying
x = -5.5

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