a+2b-3+3a=2a+b+3+b

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Solution for a+2b-3+3a=2a+b+3+b equation:


Simplifying
a + 2b + -3 + 3a = 2a + b + 3 + b

Reorder the terms:
-3 + a + 3a + 2b = 2a + b + 3 + b

Combine like terms: a + 3a = 4a
-3 + 4a + 2b = 2a + b + 3 + b

Reorder the terms:
-3 + 4a + 2b = 3 + 2a + b + b

Combine like terms: b + b = 2b
-3 + 4a + 2b = 3 + 2a + 2b

Add '-2b' to each side of the equation.
-3 + 4a + 2b + -2b = 3 + 2a + 2b + -2b

Combine like terms: 2b + -2b = 0
-3 + 4a + 0 = 3 + 2a + 2b + -2b
-3 + 4a = 3 + 2a + 2b + -2b

Combine like terms: 2b + -2b = 0
-3 + 4a = 3 + 2a + 0
-3 + 4a = 3 + 2a

Solving
-3 + 4a = 3 + 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.
-3 + 4a + -2a = 3 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-3 + 2a = 3 + 2a + -2a

Combine like terms: 2a + -2a = 0
-3 + 2a = 3 + 0
-3 + 2a = 3

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

Combine like terms: -3 + 3 = 0
0 + 2a = 3 + 3
2a = 3 + 3

Combine like terms: 3 + 3 = 6
2a = 6

Divide each side by '2'.
a = 3

Simplifying
a = 3

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