1*7(a+3)=1*8(6-a)

Solution for 1*7(a+3)=1*8(6-a) equation:

Simplifying
1 * 7(a + 3) = 1 * 8(6 + -1a)

Reorder the terms:
1 * 7(3 + a) = 1 * 8(6 + -1a)

Multiply 1 * 7
7(3 + a) = 1 * 8(6 + -1a)
(3 * 7 + a * 7) = 1 * 8(6 + -1a)
(21 + 7a) = 1 * 8(6 + -1a)

Multiply 1 * 8
21 + 7a = 8(6 + -1a)
21 + 7a = (6 * 8 + -1a * 8)
21 + 7a = (48 + -8a)

Solving
21 + 7a = 48 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
21 + 7a + 8a = 48 + -8a + 8a

Combine like terms: 7a + 8a = 15a
21 + 15a = 48 + -8a + 8a

Combine like terms: -8a + 8a = 0
21 + 15a = 48 + 0
21 + 15a = 48

Add '-21' to each side of the equation.
21 + -21 + 15a = 48 + -21

Combine like terms: 21 + -21 = 0
0 + 15a = 48 + -21
15a = 48 + -21

Combine like terms: 48 + -21 = 27
15a = 27

Divide each side by '15'.
a = 1.8

Simplifying
a = 1.8