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

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

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

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

Combine like terms: 5 + -1 = 4
42 + -14a = 4 + 3a

Solving
42 + -14a = 4 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
42 + -14a + -3a = 4 + 3a + -3a

Combine like terms: -14a + -3a = -17a
42 + -17a = 4 + 3a + -3a

Combine like terms: 3a + -3a = 0
42 + -17a = 4 + 0
42 + -17a = 4

Add '-42' to each side of the equation.
42 + -42 + -17a = 4 + -42

Combine like terms: 42 + -42 = 0
0 + -17a = 4 + -42
-17a = 4 + -42

Combine like terms: 4 + -42 = -38
-17a = -38

Divide each side by '-17'.
a = 2.235294118

Simplifying
a = 2.235294118