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

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


Simplifying
3(a + -3) + 2 = a + 9

Reorder the terms:
3(-3 + a) + 2 = a + 9
(-3 * 3 + a * 3) + 2 = a + 9
(-9 + 3a) + 2 = a + 9

Reorder the terms:
-9 + 2 + 3a = a + 9

Combine like terms: -9 + 2 = -7
-7 + 3a = a + 9

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

Solving
-7 + 3a = 9 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-7 + 3a + -1a = 9 + a + -1a

Combine like terms: 3a + -1a = 2a
-7 + 2a = 9 + a + -1a

Combine like terms: a + -1a = 0
-7 + 2a = 9 + 0
-7 + 2a = 9

Add '7' to each side of the equation.
-7 + 7 + 2a = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 2a = 9 + 7
2a = 9 + 7

Combine like terms: 9 + 7 = 16
2a = 16

Divide each side by '2'.
a = 8

Simplifying
a = 8

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