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

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

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

Remove parenthesis around (6 + -2a)
6 + -2a = 5(-3a + 1)

Reorder the terms:
6 + -2a = 5(1 + -3a)
6 + -2a = (1 * 5 + -3a * 5)
6 + -2a = (5 + -15a)

Solving
6 + -2a = 5 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
6 + -2a + 15a = 5 + -15a + 15a

Combine like terms: -2a + 15a = 13a
6 + 13a = 5 + -15a + 15a

Combine like terms: -15a + 15a = 0
6 + 13a = 5 + 0
6 + 13a = 5

Add '-6' to each side of the equation.
6 + -6 + 13a = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 13a = 5 + -6
13a = 5 + -6

Combine like terms: 5 + -6 = -1
13a = -1

Divide each side by '13'.
a = -0.07692307692

Simplifying
a = -0.07692307692