3(a-2)=4b+5

Solution for 3(a-2)=4b+5 equation:

Simplifying
3(a + -2) = 4b + 5

Reorder the terms:
3(-2 + a) = 4b + 5
(-2 * 3 + a * 3) = 4b + 5
(-6 + 3a) = 4b + 5

Reorder the terms:
-6 + 3a = 5 + 4b

Solving
-6 + 3a = 5 + 4b

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 3a = 5 + 6 + 4b

Combine like terms: -6 + 6 = 0
0 + 3a = 5 + 6 + 4b
3a = 5 + 6 + 4b

Combine like terms: 5 + 6 = 11
3a = 11 + 4b

Divide each side by '3'.
a = 3.666666667 + 1.333333333b

Simplifying
a = 3.666666667 + 1.333333333b