3a+6=7a+9

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Solution for 3a+6=7a+9 equation:


Simplifying
3a + 6 = 7a + 9

Reorder the terms:
6 + 3a = 7a + 9

Reorder the terms:
6 + 3a = 9 + 7a

Solving
6 + 3a = 9 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
6 + 3a + -7a = 9 + 7a + -7a

Combine like terms: 3a + -7a = -4a
6 + -4a = 9 + 7a + -7a

Combine like terms: 7a + -7a = 0
6 + -4a = 9 + 0
6 + -4a = 9

Add '-6' to each side of the equation.
6 + -6 + -4a = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = 9 + -6
-4a = 9 + -6

Combine like terms: 9 + -6 = 3
-4a = 3

Divide each side by '-4'.
a = -0.75

Simplifying
a = -0.75

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