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

Combine like terms: 5 + 1 = 6
42 + -14a = 6 + -3a

Solving
42 + -14a = 6 + -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 = 6 + -3a + 3a

Combine like terms: -14a + 3a = -11a
42 + -11a = 6 + -3a + 3a

Combine like terms: -3a + 3a = 0
42 + -11a = 6 + 0
42 + -11a = 6

Add '-42' to each side of the equation.
42 + -42 + -11a = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -11a = 6 + -42
-11a = 6 + -42

Combine like terms: 6 + -42 = -36
-11a = -36

Divide each side by '-11'.
a = 3.272727273

Simplifying
a = 3.272727273