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 = 1a
42 + 1a = -5 + -15a + 15a

Combine like terms: -15a + 15a = 0
42 + 1a = -5 + 0
42 + 1a = -5

Add '-42' to each side of the equation.
42 + -42 + 1a = -5 + -42

Combine like terms: 42 + -42 = 0
0 + 1a = -5 + -42
1a = -5 + -42

Combine like terms: -5 + -42 = -47
1a = -47

Divide each side by '1'.
a = -47

Simplifying
a = -47