2a+5=3a-1

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Solution for 2a+5=3a-1 equation:


Simplifying
2a + 5 = 3a + -1

Reorder the terms:
5 + 2a = 3a + -1

Reorder the terms:
5 + 2a = -1 + 3a

Solving
5 + 2a = -1 + 3a

Solving for variable 'a'.

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

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

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

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

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

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

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

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

Simplifying
a = 6

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