12a+3(a-2)-(a-5)=

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

Simplifying
12a + 3(a + -2) + -1(a + -5) = 0

Reorder the terms:
12a + 3(-2 + a) + -1(a + -5) = 0
12a + (-2 * 3 + a * 3) + -1(a + -5) = 0
12a + (-6 + 3a) + -1(a + -5) = 0

Reorder the terms:
12a + -6 + 3a + -1(-5 + a) = 0
12a + -6 + 3a + (-5 * -1 + a * -1) = 0
12a + -6 + 3a + (5 + -1a) = 0

Reorder the terms:
-6 + 5 + 12a + 3a + -1a = 0

Combine like terms: -6 + 5 = -1
-1 + 12a + 3a + -1a = 0

Combine like terms: 12a + 3a = 15a
-1 + 15a + -1a = 0

Combine like terms: 15a + -1a = 14a
-1 + 14a = 0

Solving
-1 + 14a = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 14a = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 14a = 0 + 1
14a = 0 + 1

Combine like terms: 0 + 1 = 1
14a = 1

Divide each side by '14'.
a = 0.07142857143

Simplifying
a = 0.07142857143