3a+1=2a+2

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


Simplifying
3a + 1 = 2a + 2

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

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

Solving
1 + 3a = 2 + 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.
1 + 3a + -2a = 2 + 2a + -2a

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

Combine like terms: 2a + -2a = 0
1 + 1a = 2 + 0
1 + 1a = 2

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

Combine like terms: 1 + -1 = 0
0 + 1a = 2 + -1
1a = 2 + -1

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

Divide each side by '1'.
a = 1

Simplifying
a = 1

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