8x-(9x+7)=3x-31

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Solution for 8x-(9x+7)=3x-31 equation:


Simplifying
8x + -1(9x + 7) = 3x + -31

Reorder the terms:
8x + -1(7 + 9x) = 3x + -31
8x + (7 * -1 + 9x * -1) = 3x + -31
8x + (-7 + -9x) = 3x + -31

Reorder the terms:
-7 + 8x + -9x = 3x + -31

Combine like terms: 8x + -9x = -1x
-7 + -1x = 3x + -31

Reorder the terms:
-7 + -1x = -31 + 3x

Solving
-7 + -1x = -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.
-7 + -1x + -3x = -31 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-7 + -4x = -31 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + -4x = -31 + 0
-7 + -4x = -31

Add '7' to each side of the equation.
-7 + 7 + -4x = -31 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -31 + 7
-4x = -31 + 7

Combine like terms: -31 + 7 = -24
-4x = -24

Divide each side by '-4'.
x = 6

Simplifying
x = 6

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