(-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)

Reorder the terms for easier multiplication:
31(-4 + -3x) = 81x + -1(-2x + -2)
(-4 * 31 + -3x * 31) = 81x + -1(-2x + -2)
(-124 + -93x) = 81x + -1(-2x + -2)

Reorder the terms:
-124 + -93x = 81x + -1(-2 + -2x)
-124 + -93x = 81x + (-2 * -1 + -2x * -1)
-124 + -93x = 81x + (2 + 2x)

Reorder the terms:
-124 + -93x = 2 + 81x + 2x

Combine like terms: 81x + 2x = 83x
-124 + -93x = 2 + 83x

Solving
-124 + -93x = 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.
-124 + -93x + -83x = 2 + 83x + -83x

Combine like terms: -93x + -83x = -176x
-124 + -176x = 2 + 83x + -83x

Combine like terms: 83x + -83x = 0
-124 + -176x = 2 + 0
-124 + -176x = 2

Add '124' to each side of the equation.
-124 + 124 + -176x = 2 + 124

Combine like terms: -124 + 124 = 0
0 + -176x = 2 + 124
-176x = 2 + 124

Combine like terms: 2 + 124 = 126
-176x = 126

Divide each side by '-176'.
x = -0.7159090909

Simplifying
x = -0.7159090909

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