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

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

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

Combine like terms: -3 + 1 = -2
42 + -14a = 5(-2)

Multiply 5 * -2
42 + -14a = -10

Solving
42 + -14a = -10

Solving for variable 'a'.

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

Add '-42' to each side of the equation.
42 + -42 + -14a = -10 + -42

Combine like terms: 42 + -42 = 0
0 + -14a = -10 + -42
-14a = -10 + -42

Combine like terms: -10 + -42 = -52
-14a = -52

Divide each side by '-14'.
a = 3.714285714

Simplifying
a = 3.714285714