83=2a+3(1-4a)

Solution for 83=2a+3(1-4a) equation:

Simplifying
83 = 2a + 3(1 + -4a)
83 = 2a + (1 * 3 + -4a * 3)
83 = 2a + (3 + -12a)

Reorder the terms:
83 = 3 + 2a + -12a

Combine like terms: 2a + -12a = -10a
83 = 3 + -10a

Solving
83 = 3 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
83 + 10a = 3 + -10a + 10a

Combine like terms: -10a + 10a = 0
83 + 10a = 3 + 0
83 + 10a = 3

Add '-83' to each side of the equation.
83 + -83 + 10a = 3 + -83

Combine like terms: 83 + -83 = 0
0 + 10a = 3 + -83
10a = 3 + -83

Combine like terms: 3 + -83 = -80
10a = -80

Divide each side by '10'.
a = -8

Simplifying
a = -8