(3a-4)+(6a+2)=5a+22

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Solution for (3a-4)+(6a+2)=5a+22 equation:


Simplifying
(3a + -4) + (6a + 2) = 5a + 22

Reorder the terms:
(-4 + 3a) + (6a + 2) = 5a + 22

Remove parenthesis around (-4 + 3a)
-4 + 3a + (6a + 2) = 5a + 22

Reorder the terms:
-4 + 3a + (2 + 6a) = 5a + 22

Remove parenthesis around (2 + 6a)
-4 + 3a + 2 + 6a = 5a + 22

Reorder the terms:
-4 + 2 + 3a + 6a = 5a + 22

Combine like terms: -4 + 2 = -2
-2 + 3a + 6a = 5a + 22

Combine like terms: 3a + 6a = 9a
-2 + 9a = 5a + 22

Reorder the terms:
-2 + 9a = 22 + 5a

Solving
-2 + 9a = 22 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-2 + 9a + -5a = 22 + 5a + -5a

Combine like terms: 9a + -5a = 4a
-2 + 4a = 22 + 5a + -5a

Combine like terms: 5a + -5a = 0
-2 + 4a = 22 + 0
-2 + 4a = 22

Add '2' to each side of the equation.
-2 + 2 + 4a = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 4a = 22 + 2
4a = 22 + 2

Combine like terms: 22 + 2 = 24
4a = 24

Divide each side by '4'.
a = 6

Simplifying
a = 6

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