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

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


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

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

Combine like terms: 7a + 5a = 12a
-21 + 12a = 3(a + 2)

Reorder the terms:
-21 + 12a = 3(2 + a)
-21 + 12a = (2 * 3 + a * 3)
-21 + 12a = (6 + 3a)

Solving
-21 + 12a = 6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-21 + 12a + -3a = 6 + 3a + -3a

Combine like terms: 12a + -3a = 9a
-21 + 9a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-21 + 9a = 6 + 0
-21 + 9a = 6

Add '21' to each side of the equation.
-21 + 21 + 9a = 6 + 21

Combine like terms: -21 + 21 = 0
0 + 9a = 6 + 21
9a = 6 + 21

Combine like terms: 6 + 21 = 27
9a = 27

Divide each side by '9'.
a = 3

Simplifying
a = 3

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