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

Solution for 5(a+2)-(4a-1)=3(4a+2)-6 equation:

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

Reorder the terms:
5(2 + a) + -1(4a + -1) = 3(4a + 2) + -6
(2 * 5 + a * 5) + -1(4a + -1) = 3(4a + 2) + -6
(10 + 5a) + -1(4a + -1) = 3(4a + 2) + -6

Reorder the terms:
10 + 5a + -1(-1 + 4a) = 3(4a + 2) + -6
10 + 5a + (-1 * -1 + 4a * -1) = 3(4a + 2) + -6
10 + 5a + (1 + -4a) = 3(4a + 2) + -6

Reorder the terms:
10 + 1 + 5a + -4a = 3(4a + 2) + -6

Combine like terms: 10 + 1 = 11
11 + 5a + -4a = 3(4a + 2) + -6

Combine like terms: 5a + -4a = 1a
11 + 1a = 3(4a + 2) + -6

Reorder the terms:
11 + 1a = 3(2 + 4a) + -6
11 + 1a = (2 * 3 + 4a * 3) + -6
11 + 1a = (6 + 12a) + -6

Reorder the terms:
11 + 1a = 6 + -6 + 12a

Combine like terms: 6 + -6 = 0
11 + 1a = 0 + 12a
11 + 1a = 12a

Solving
11 + 1a = 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
11 + 1a + -12a = 12a + -12a

Combine like terms: 1a + -12a = -11a
11 + -11a = 12a + -12a

Combine like terms: 12a + -12a = 0
11 + -11a = 0

Add '-11' to each side of the equation.
11 + -11 + -11a = 0 + -11

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

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

Divide each side by '-11'.
a = 1

Simplifying
a = 1