3(a+4)+2(a-1)=a

Solution for 3(a+4)+2(a-1)=a equation:

Simplifying
3(a + 4) + 2(a + -1) = a

Reorder the terms:
3(4 + a) + 2(a + -1) = a
(4 * 3 + a * 3) + 2(a + -1) = a
(12 + 3a) + 2(a + -1) = a

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

Reorder the terms:
12 + -2 + 3a + 2a = a

Combine like terms: 12 + -2 = 10
10 + 3a + 2a = a

Combine like terms: 3a + 2a = 5a
10 + 5a = a

Solving
10 + 5a = a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
10 + 5a + -1a = a + -1a

Combine like terms: 5a + -1a = 4a
10 + 4a = a + -1a

Combine like terms: a + -1a = 0
10 + 4a = 0

Add '-10' to each side of the equation.
10 + -10 + 4a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 4a = 0 + -10
4a = 0 + -10

Combine like terms: 0 + -10 = -10
4a = -10

Divide each side by '4'.
a = -2.5

Simplifying
a = -2.5