7(6+2a)=5(-3a+1)

Solution for 7(6+2a)=5(-3a+1) equation:

Simplifying
7(6 + 2a) = 5(-3a + 1)
(6 * 7 + 2a * 7) = 5(-3a + 1)
(42 + 14a) = 5(-3a + 1)

Reorder the terms:
42 + 14a = 5(1 + -3a)
42 + 14a = (1 * 5 + -3a * 5)
42 + 14a = (5 + -15a)

Solving
42 + 14a = 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 + 14a + 15a = 5 + -15a + 15a

Combine like terms: 14a + 15a = 29a
42 + 29a = 5 + -15a + 15a

Combine like terms: -15a + 15a = 0
42 + 29a = 5 + 0
42 + 29a = 5

Add '-42' to each side of the equation.
42 + -42 + 29a = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 29a = 5 + -42
29a = 5 + -42

Combine like terms: 5 + -42 = -37
29a = -37

Divide each side by '29'.
a = -1.275862069

Simplifying
a = -1.275862069