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

Solution for 12a-5(a+1)=3(a-2) equation:

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

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

Reorder the terms:
-5 + 12a + -5a = 3(a + -2)

Combine like terms: 12a + -5a = 7a
-5 + 7a = 3(a + -2)

Reorder the terms:
-5 + 7a = 3(-2 + a)
-5 + 7a = (-2 * 3 + a * 3)
-5 + 7a = (-6 + 3a)

Solving
-5 + 7a = -6 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-5 + 7a + -3a = -6 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-5 + 4a = -6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-5 + 4a = -6 + 0
-5 + 4a = -6

Add '5' to each side of the equation.
-5 + 5 + 4a = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 4a = -6 + 5
4a = -6 + 5

Combine like terms: -6 + 5 = -1
4a = -1

Divide each side by '4'.
a = -0.25

Simplifying
a = -0.25