9(a+5)=2(a+1.5)

Solution for 9(a+5)=2(a+1.5) equation:

Simplifying
9(a + 5) = 2(a + 1.5)

Reorder the terms:
9(5 + a) = 2(a + 1.5)
(5 * 9 + a * 9) = 2(a + 1.5)
(45 + 9a) = 2(a + 1.5)

Reorder the terms:
45 + 9a = 2(1.5 + a)
45 + 9a = (1.5 * 2 + a * 2)
45 + 9a = (3 + 2a)

Solving
45 + 9a = 3 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
45 + 9a + -2a = 3 + 2a + -2a

Combine like terms: 9a + -2a = 7a
45 + 7a = 3 + 2a + -2a

Combine like terms: 2a + -2a = 0
45 + 7a = 3 + 0
45 + 7a = 3

Add '-45' to each side of the equation.
45 + -45 + 7a = 3 + -45

Combine like terms: 45 + -45 = 0
0 + 7a = 3 + -45
7a = 3 + -45

Combine like terms: 3 + -45 = -42
7a = -42

Divide each side by '7'.
a = -6

Simplifying
a = -6