7(6-a)=5(-3a+1)

Solution for 7(6-a)=5(-3a+1) equation:

Simplifying
7(6 + -1a) = 5(-3a + 1)
(6 * 7 + -1a * 7) = 5(-3a + 1)
(42 + -7a) = 5(-3a + 1)

Reorder the terms:
42 + -7a = 5(1 + -3a)
42 + -7a = (1 * 5 + -3a * 5)
42 + -7a = (5 + -15a)

Solving
42 + -7a = 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.
42 + -7a + 15a = 5 + -15a + 15a

Combine like terms: -7a + 15a = 8a
42 + 8a = 5 + -15a + 15a

Combine like terms: -15a + 15a = 0
42 + 8a = 5 + 0
42 + 8a = 5

Add '-42' to each side of the equation.
42 + -42 + 8a = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 8a = 5 + -42
8a = 5 + -42

Combine like terms: 5 + -42 = -37
8a = -37

Divide each side by '8'.
a = -4.625

Simplifying
a = -4.625