3a+4(2a+5)-(6a-9-3)=12

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Solution for 3a+4(2a+5)-(6a-9-3)=12 equation: 


Simplifying
3a + 4(2a + 5) + -1(6a + -9 + -3) = 12

Reorder the terms:
3a + 4(5 + 2a) + -1(6a + -9 + -3) = 12
3a + (5 * 4 + 2a * 4) + -1(6a + -9 + -3) = 12
3a + (20 + 8a) + -1(6a + -9 + -3) = 12

Reorder the terms:
3a + 20 + 8a + -1(-9 + -3 + 6a) = 12

Combine like terms: -9 + -3 = -12
3a + 20 + 8a + -1(-12 + 6a) = 12
3a + 20 + 8a + (-12 * -1 + 6a * -1) = 12
3a + 20 + 8a + (12 + -6a) = 12

Reorder the terms:
20 + 12 + 3a + 8a + -6a = 12

Combine like terms: 20 + 12 = 32
32 + 3a + 8a + -6a = 12

Combine like terms: 3a + 8a = 11a
32 + 11a + -6a = 12

Combine like terms: 11a + -6a = 5a
32 + 5a = 12

Solving
32 + 5a = 12

Solving for variable 'a'.

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

Add '-32' to each side of the equation.
32 + -32 + 5a = 12 + -32

Combine like terms: 32 + -32 = 0
0 + 5a = 12 + -32
5a = 12 + -32

Combine like terms: 12 + -32 = -20
5a = -20

Divide each side by '5'.
a = -4

Simplifying
a = -4

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