5a-1+b=2a+2b

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


Simplifying
5a + -1 + b = 2a + 2b

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

Solving
-1 + 5a + b = 2a + 2b

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 + 5a + -2a + b = 2a + -2a + 2b

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

Combine like terms: 2a + -2a = 0
-1 + 3a + b = 0 + 2b
-1 + 3a + b = 2b

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

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

Combine like terms: -1 + 1 = 0
0 + 3a + b = 1 + 2b
3a + b = 1 + 2b

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

Combine like terms: b + -1b = 0
3a + 0 = 1 + 2b + -1b
3a = 1 + 2b + -1b

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

Divide each side by '3'.
a = 0.3333333333 + 0.3333333333b

Simplifying
a = 0.3333333333 + 0.3333333333b

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