7(a+2)-9=6a+15

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Solution for 7(a+2)-9=6a+15 equation:


Simplifying
7(a + 2) + -9 = 6a + 15

Reorder the terms:
7(2 + a) + -9 = 6a + 15
(2 * 7 + a * 7) + -9 = 6a + 15
(14 + 7a) + -9 = 6a + 15

Reorder the terms:
14 + -9 + 7a = 6a + 15

Combine like terms: 14 + -9 = 5
5 + 7a = 6a + 15

Reorder the terms:
5 + 7a = 15 + 6a

Solving
5 + 7a = 15 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
5 + 7a + -6a = 15 + 6a + -6a

Combine like terms: 7a + -6a = 1a
5 + 1a = 15 + 6a + -6a

Combine like terms: 6a + -6a = 0
5 + 1a = 15 + 0
5 + 1a = 15

Add '-5' to each side of the equation.
5 + -5 + 1a = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 1a = 15 + -5
1a = 15 + -5

Combine like terms: 15 + -5 = 10
1a = 10

Divide each side by '1'.
a = 10

Simplifying
a = 10

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