3a+2b=a+b+7

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Solution for 3a+2b=a+b+7 equation:


Simplifying
3a + 2b = a + b + 7

Reorder the terms:
3a + 2b = 7 + a + b

Solving
3a + 2b = 7 + a + b

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
3a + -1a + 2b = 7 + a + -1a + b

Combine like terms: 3a + -1a = 2a
2a + 2b = 7 + a + -1a + b

Combine like terms: a + -1a = 0
2a + 2b = 7 + 0 + b
2a + 2b = 7 + b

Add '-2b' to each side of the equation.
2a + 2b + -2b = 7 + b + -2b

Combine like terms: 2b + -2b = 0
2a + 0 = 7 + b + -2b
2a = 7 + b + -2b

Combine like terms: b + -2b = -1b
2a = 7 + -1b

Divide each side by '2'.
a = 3.5 + -0.5b

Simplifying
a = 3.5 + -0.5b

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