3(2a+4)+(a+3)=10

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Solution for 3(2a+4)+(a+3)=10 equation:


Simplifying
3(2a + 4) + (a + 3) = 10

Reorder the terms:
3(4 + 2a) + (a + 3) = 10
(4 * 3 + 2a * 3) + (a + 3) = 10
(12 + 6a) + (a + 3) = 10

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

Remove parenthesis around (3 + a)
12 + 6a + 3 + a = 10

Reorder the terms:
12 + 3 + 6a + a = 10

Combine like terms: 12 + 3 = 15
15 + 6a + a = 10

Combine like terms: 6a + a = 7a
15 + 7a = 10

Solving
15 + 7a = 10

Solving for variable 'a'.

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

Add '-15' to each side of the equation.
15 + -15 + 7a = 10 + -15

Combine like terms: 15 + -15 = 0
0 + 7a = 10 + -15
7a = 10 + -15

Combine like terms: 10 + -15 = -5
7a = -5

Divide each side by '7'.
a = -0.7142857143

Simplifying
a = -0.7142857143

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