5x-(9x+7)=2x-31

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Solution for 5x-(9x+7)=2x-31 equation:


Simplifying
5x + -1(9x + 7) = 2x + -31

Reorder the terms:
5x + -1(7 + 9x) = 2x + -31
5x + (7 * -1 + 9x * -1) = 2x + -31
5x + (-7 + -9x) = 2x + -31

Reorder the terms:
-7 + 5x + -9x = 2x + -31

Combine like terms: 5x + -9x = -4x
-7 + -4x = 2x + -31

Reorder the terms:
-7 + -4x = -31 + 2x

Solving
-7 + -4x = -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.
-7 + -4x + -2x = -31 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-7 + -6x = -31 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + -6x = -31 + 0
-7 + -6x = -31

Add '7' to each side of the equation.
-7 + 7 + -6x = -31 + 7

Combine like terms: -7 + 7 = 0
0 + -6x = -31 + 7
-6x = -31 + 7

Combine like terms: -31 + 7 = -24
-6x = -24

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

Simplifying
x = 4

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