6(a+8)=5a+64

Solution for 6(a+8)=5a+64 equation:

Simplifying
6(a + 8) = 5a + 64

Reorder the terms:
6(8 + a) = 5a + 64
(8 * 6 + a * 6) = 5a + 64
(48 + 6a) = 5a + 64

Reorder the terms:
48 + 6a = 64 + 5a

Solving
48 + 6a = 64 + 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.
48 + 6a + -5a = 64 + 5a + -5a

Combine like terms: 6a + -5a = 1a
48 + 1a = 64 + 5a + -5a

Combine like terms: 5a + -5a = 0
48 + 1a = 64 + 0
48 + 1a = 64

Add '-48' to each side of the equation.
48 + -48 + 1a = 64 + -48

Combine like terms: 48 + -48 = 0
0 + 1a = 64 + -48
1a = 64 + -48

Combine like terms: 64 + -48 = 16
1a = 16

Divide each side by '1'.
a = 16

Simplifying
a = 16