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

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

Simplifying
6(a + 7) = 5(a + -3)

Reorder the terms:
6(7 + a) = 5(a + -3)
(7 * 6 + a * 6) = 5(a + -3)
(42 + 6a) = 5(a + -3)

Reorder the terms:
42 + 6a = 5(-3 + a)
42 + 6a = (-3 * 5 + a * 5)
42 + 6a = (-15 + 5a)

Solving
42 + 6a = -15 + 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 + 6a + -5a = -15 + 5a + -5a

Combine like terms: 6a + -5a = 1a
42 + 1a = -15 + 5a + -5a

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

Add '-42' to each side of the equation.
42 + -42 + 1a = -15 + -42

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

Combine like terms: -15 + -42 = -57
1a = -57

Divide each side by '1'.
a = -57

Simplifying
a = -57