-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 = 47
29a = 47

Divide each side by '29'.
a = 1.620689655

Simplifying
a = 1.620689655