(-3x-1)=5x+7

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Solution for (-3x-1)=5x+7 equation:


Simplifying
(-3x + -1) = 5x + 7

Reorder the terms:
(-1 + -3x) = 5x + 7

Remove parenthesis around (-1 + -3x)
-1 + -3x = 5x + 7

Reorder the terms:
-1 + -3x = 7 + 5x

Solving
-1 + -3x = 7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + -3x + -5x = 7 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-1 + -8x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -8x = 7 + 0
-1 + -8x = 7

Add '1' to each side of the equation.
-1 + 1 + -8x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -8x = 7 + 1
-8x = 7 + 1

Combine like terms: 7 + 1 = 8
-8x = 8

Divide each side by '-8'.
x = -1

Simplifying
x = -1

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