3a+5=2a+1

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


Simplifying
3a + 5 = 2a + 1

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

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

Solving
5 + 3a = 1 + 2a

Solving for variable 'a'.

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

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

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

Combine like terms: 2a + -2a = 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 = -4
1a = -4

Divide each side by '1'.
a = -4

Simplifying
a = -4

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