(3x-4)-31=-81x-(2x-2)

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Solution for (3x-4)-31=-81x-(2x-2) equation:


Simplifying
(3x + -4) + -31 = -81x + -1(2x + -2)

Reorder the terms:
(-4 + 3x) + -31 = -81x + -1(2x + -2)

Remove parenthesis around (-4 + 3x)
-4 + 3x + -31 = -81x + -1(2x + -2)

Reorder the terms:
-4 + -31 + 3x = -81x + -1(2x + -2)

Combine like terms: -4 + -31 = -35
-35 + 3x = -81x + -1(2x + -2)

Reorder the terms:
-35 + 3x = -81x + -1(-2 + 2x)
-35 + 3x = -81x + (-2 * -1 + 2x * -1)
-35 + 3x = -81x + (2 + -2x)

Reorder the terms:
-35 + 3x = 2 + -81x + -2x

Combine like terms: -81x + -2x = -83x
-35 + 3x = 2 + -83x

Solving
-35 + 3x = 2 + -83x

Solving for variable 'x'.

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

Add '83x' to each side of the equation.
-35 + 3x + 83x = 2 + -83x + 83x

Combine like terms: 3x + 83x = 86x
-35 + 86x = 2 + -83x + 83x

Combine like terms: -83x + 83x = 0
-35 + 86x = 2 + 0
-35 + 86x = 2

Add '35' to each side of the equation.
-35 + 35 + 86x = 2 + 35

Combine like terms: -35 + 35 = 0
0 + 86x = 2 + 35
86x = 2 + 35

Combine like terms: 2 + 35 = 37
86x = 37

Divide each side by '86'.
x = 0.4302325581

Simplifying
x = 0.4302325581

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