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

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

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

Reorder the terms:
6 + 3a = 4(-5 + 4a)
6 + 3a = (-5 * 4 + 4a * 4)
6 + 3a = (-20 + 16a)

Solving
6 + 3a = -20 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
6 + 3a + -16a = -20 + 16a + -16a

Combine like terms: 3a + -16a = -13a
6 + -13a = -20 + 16a + -16a

Combine like terms: 16a + -16a = 0
6 + -13a = -20 + 0
6 + -13a = -20

Add '-6' to each side of the equation.
6 + -6 + -13a = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -13a = -20 + -6
-13a = -20 + -6

Combine like terms: -20 + -6 = -26
-13a = -26

Divide each side by '-13'.
a = 2

Simplifying
a = 2