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 = 1a
42 + 1a = 5 + -15a + 15a

Combine like terms: -15a + 15a = 0
42 + 1a = 5 + 0
42 + 1a = 5

Add '-42' to each side of the equation.
42 + -42 + 1a = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 1a = 5 + -42
1a = 5 + -42

Combine like terms: 5 + -42 = -37
1a = -37

Divide each side by '1'.
a = -37

Simplifying
a = -37