1.8(a-1)=1.2(a+8)

Solution for 1.8(a-1)=1.2(a+8) equation:

Simplifying
1.8(a + -1) = 1.2(a + 8)

Reorder the terms:
1.8(-1 + a) = 1.2(a + 8)
(-1 * 1.8 + a * 1.8) = 1.2(a + 8)
(-1.8 + 1.8a) = 1.2(a + 8)

Reorder the terms:
-1.8 + 1.8a = 1.2(8 + a)
-1.8 + 1.8a = (8 * 1.2 + a * 1.2)
-1.8 + 1.8a = (9.6 + 1.2a)

Solving
-1.8 + 1.8a = 9.6 + 1.2a

Solving for variable 'a'.

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

Add '-1.2a' to each side of the equation.
-1.8 + 1.8a + -1.2a = 9.6 + 1.2a + -1.2a

Combine like terms: 1.8a + -1.2a = 0.6a
-1.8 + 0.6a = 9.6 + 1.2a + -1.2a

Combine like terms: 1.2a + -1.2a = 0.0
-1.8 + 0.6a = 9.6 + 0.0
-1.8 + 0.6a = 9.6

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.6a = 9.6 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.6a = 9.6 + 1.8
0.6a = 9.6 + 1.8

Combine like terms: 9.6 + 1.8 = 11.4
0.6a = 11.4

Divide each side by '0.6'.
a = 19

Simplifying
a = 19