4a+3(a*2)=8a-(6+a)

Solution for 4a+3(a*2)=8a-(6+a) equation:

Simplifying
4a + 3(a * 2) = 8a + -1(6 + a)

Reorder the terms for easier multiplication:
4a + 3(2a) = 8a + -1(6 + a)

Remove parenthesis around (2a)
4a + 3 * 2a = 8a + -1(6 + a)

Multiply 3 * 2
4a + 6a = 8a + -1(6 + a)

Combine like terms: 4a + 6a = 10a
10a = 8a + -1(6 + a)
10a = 8a + (6 * -1 + a * -1)
10a = 8a + (-6 + -1a)

Reorder the terms:
10a = -6 + 8a + -1a

Combine like terms: 8a + -1a = 7a
10a = -6 + 7a

Solving
10a = -6 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
10a + -7a = -6 + 7a + -7a

Combine like terms: 10a + -7a = 3a
3a = -6 + 7a + -7a

Combine like terms: 7a + -7a = 0
3a = -6 + 0
3a = -6

Divide each side by '3'.
a = -2

Simplifying
a = -2