(2x+1)=(3x-5)

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Solution for (2x+1)=(3x-5) equation:


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

Reorder the terms:
(1 + 2x) = (3x + -5)

Remove parenthesis around (1 + 2x)
1 + 2x = (3x + -5)

Reorder the terms:
1 + 2x = (-5 + 3x)

Remove parenthesis around (-5 + 3x)
1 + 2x = -5 + 3x

Solving
1 + 2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 2x + -3x = -5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
1 + -1x = -5 + 0
1 + -1x = -5

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

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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