3(a+2)-7=13-(9+2)

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Solution for 3(a+2)-7=13-(9+2) equation: 


Simplifying
3(a + 2) + -7 = 13 + -1(9 + 2)

Reorder the terms:
3(2 + a) + -7 = 13 + -1(9 + 2)
(2 * 3 + a * 3) + -7 = 13 + -1(9 + 2)
(6 + 3a) + -7 = 13 + -1(9 + 2)

Reorder the terms:
6 + -7 + 3a = 13 + -1(9 + 2)

Combine like terms: 6 + -7 = -1
-1 + 3a = 13 + -1(9 + 2)

Combine like terms: 9 + 2 = 11
-1 + 3a = 13 + -1(11)

Multiply -1 * 11
-1 + 3a = 13 + -11

Combine like terms: 13 + -11 = 2
-1 + 3a = 2

Solving
-1 + 3a = 2

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 3a = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 3a = 2 + 1
3a = 2 + 1

Combine like terms: 2 + 1 = 3
3a = 3

Divide each side by '3'.
a = 1

Simplifying
a = 1

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