3(2a+7)=5a+22

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Solution for 3(2a+7)=5a+22 equation:


Simplifying
3(2a + 7) = 5a + 22

Reorder the terms:
3(7 + 2a) = 5a + 22
(7 * 3 + 2a * 3) = 5a + 22
(21 + 6a) = 5a + 22

Reorder the terms:
21 + 6a = 22 + 5a

Solving
21 + 6a = 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.
21 + 6a + -5a = 22 + 5a + -5a

Combine like terms: 6a + -5a = 1a
21 + 1a = 22 + 5a + -5a

Combine like terms: 5a + -5a = 0
21 + 1a = 22 + 0
21 + 1a = 22

Add '-21' to each side of the equation.
21 + -21 + 1a = 22 + -21

Combine like terms: 21 + -21 = 0
0 + 1a = 22 + -21
1a = 22 + -21

Combine like terms: 22 + -21 = 1
1a = 1

Divide each side by '1'.
a = 1

Simplifying
a = 1

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