3a+9=7a-7

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


Simplifying
3a + 9 = 7a + -7

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

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

Solving
9 + 3a = -7 + 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.
9 + 3a + -7a = -7 + 7a + -7a

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

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

Add '-9' to each side of the equation.
9 + -9 + -4a = -7 + -9

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

Combine like terms: -7 + -9 = -16
-4a = -16

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

Simplifying
a = 4

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