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

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

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

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

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

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
42 + -14a + 5a = 5 + -5a + 5a

Combine like terms: -14a + 5a = -9a
42 + -9a = 5 + -5a + 5a

Combine like terms: -5a + 5a = 0
42 + -9a = 5 + 0
42 + -9a = 5

Add '-42' to each side of the equation.
42 + -42 + -9a = 5 + -42

Combine like terms: 42 + -42 = 0
0 + -9a = 5 + -42
-9a = 5 + -42

Combine like terms: 5 + -42 = -37
-9a = -37

Divide each side by '-9'.
a = 4.111111111

Simplifying
a = 4.111111111