6(a+2)+3=3(10-3a)

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Solution for 6(a+2)+3=3(10-3a) equation: 


Simplifying
6(a + 2) + 3 = 3(10 + -3a)

Reorder the terms:
6(2 + a) + 3 = 3(10 + -3a)
(2 * 6 + a * 6) + 3 = 3(10 + -3a)
(12 + 6a) + 3 = 3(10 + -3a)

Reorder the terms:
12 + 3 + 6a = 3(10 + -3a)

Combine like terms: 12 + 3 = 15
15 + 6a = 3(10 + -3a)
15 + 6a = (10 * 3 + -3a * 3)
15 + 6a = (30 + -9a)

Solving
15 + 6a = 30 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
15 + 6a + 9a = 30 + -9a + 9a

Combine like terms: 6a + 9a = 15a
15 + 15a = 30 + -9a + 9a

Combine like terms: -9a + 9a = 0
15 + 15a = 30 + 0
15 + 15a = 30

Add '-15' to each side of the equation.
15 + -15 + 15a = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 15a = 30 + -15
15a = 30 + -15

Combine like terms: 30 + -15 = 15
15a = 15

Divide each side by '15'.
a = 1

Simplifying
a = 1

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