5a+7b=8a-9

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Solution for 5a+7b=8a-9 equation:


Simplifying
5a + 7b = 8a + -9

Reorder the terms:
5a + 7b = -9 + 8a

Solving
5a + 7b = -9 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
5a + -8a + 7b = -9 + 8a + -8a

Combine like terms: 5a + -8a = -3a
-3a + 7b = -9 + 8a + -8a

Combine like terms: 8a + -8a = 0
-3a + 7b = -9 + 0
-3a + 7b = -9

Add '-7b' to each side of the equation.
-3a + 7b + -7b = -9 + -7b

Combine like terms: 7b + -7b = 0
-3a + 0 = -9 + -7b
-3a = -9 + -7b

Divide each side by '-3'.
a = 3 + 2.333333333b

Simplifying
a = 3 + 2.333333333b

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