(3x-1)=(5x+6)

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Solution for (3x-1)=(5x+6) equation:


Simplifying
(3x + -1) = (5x + 6)

Reorder the terms:
(-1 + 3x) = (5x + 6)

Remove parenthesis around (-1 + 3x)
-1 + 3x = (5x + 6)

Reorder the terms:
-1 + 3x = (6 + 5x)

Remove parenthesis around (6 + 5x)
-1 + 3x = 6 + 5x

Solving
-1 + 3x = 6 + 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 = 6 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-1 + -2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -2x = 6 + 0
-1 + -2x = 6

Add '1' to each side of the equation.
-1 + 1 + -2x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 6 + 1
-2x = 6 + 1

Combine like terms: 6 + 1 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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