31=5-2(3x-4)-x

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Solution for 31=5-2(3x-4)-x equation:


Simplifying
31 = 5 + -2(3x + -4) + -1x

Reorder the terms:
31 = 5 + -2(-4 + 3x) + -1x
31 = 5 + (-4 * -2 + 3x * -2) + -1x
31 = 5 + (8 + -6x) + -1x

Combine like terms: 5 + 8 = 13
31 = 13 + -6x + -1x

Combine like terms: -6x + -1x = -7x
31 = 13 + -7x

Solving
31 = 13 + -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.
31 + 7x = 13 + -7x + 7x

Combine like terms: -7x + 7x = 0
31 + 7x = 13 + 0
31 + 7x = 13

Add '-31' to each side of the equation.
31 + -31 + 7x = 13 + -31

Combine like terms: 31 + -31 = 0
0 + 7x = 13 + -31
7x = 13 + -31

Combine like terms: 13 + -31 = -18
7x = -18

Divide each side by '7'.
x = -2.571428571

Simplifying
x = -2.571428571

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