4(3a+1)-3(a+5)=7

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Solution for 4(3a+1)-3(a+5)=7 equation: 


Simplifying
4(3a + 1) + -3(a + 5) = 7

Reorder the terms:
4(1 + 3a) + -3(a + 5) = 7
(1 * 4 + 3a * 4) + -3(a + 5) = 7
(4 + 12a) + -3(a + 5) = 7

Reorder the terms:
4 + 12a + -3(5 + a) = 7
4 + 12a + (5 * -3 + a * -3) = 7
4 + 12a + (-15 + -3a) = 7

Reorder the terms:
4 + -15 + 12a + -3a = 7

Combine like terms: 4 + -15 = -11
-11 + 12a + -3a = 7

Combine like terms: 12a + -3a = 9a
-11 + 9a = 7

Solving
-11 + 9a = 7

Solving for variable 'a'.

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

Add '11' to each side of the equation.
-11 + 11 + 9a = 7 + 11

Combine like terms: -11 + 11 = 0
0 + 9a = 7 + 11
9a = 7 + 11

Combine like terms: 7 + 11 = 18
9a = 18

Divide each side by '9'.
a = 2

Simplifying
a = 2

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