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

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


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

Reorder the terms:
2a + -6(2 + a) = 9 + -7a
2a + (2 * -6 + a * -6) = 9 + -7a
2a + (-12 + -6a) = 9 + -7a

Reorder the terms:
-12 + 2a + -6a = 9 + -7a

Combine like terms: 2a + -6a = -4a
-12 + -4a = 9 + -7a

Solving
-12 + -4a = 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.
-12 + -4a + 7a = 9 + -7a + 7a

Combine like terms: -4a + 7a = 3a
-12 + 3a = 9 + -7a + 7a

Combine like terms: -7a + 7a = 0
-12 + 3a = 9 + 0
-12 + 3a = 9

Add '12' to each side of the equation.
-12 + 12 + 3a = 9 + 12

Combine like terms: -12 + 12 = 0
0 + 3a = 9 + 12
3a = 9 + 12

Combine like terms: 9 + 12 = 21
3a = 21

Divide each side by '3'.
a = 7

Simplifying
a = 7

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