3(2a-1)-3(a+1)=17

Solution for 3(2a-1)-3(a+1)=17 equation:

Simplifying
3(2a + -1) + -3(a + 1) = 17

Reorder the terms:
3(-1 + 2a) + -3(a + 1) = 17
(-1 * 3 + 2a * 3) + -3(a + 1) = 17
(-3 + 6a) + -3(a + 1) = 17

Reorder the terms:
-3 + 6a + -3(1 + a) = 17
-3 + 6a + (1 * -3 + a * -3) = 17
-3 + 6a + (-3 + -3a) = 17

Reorder the terms:
-3 + -3 + 6a + -3a = 17

Combine like terms: -3 + -3 = -6
-6 + 6a + -3a = 17

Combine like terms: 6a + -3a = 3a
-6 + 3a = 17

Solving
-6 + 3a = 17

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 = 17 + 6

Combine like terms: -6 + 6 = 0
0 + 3a = 17 + 6
3a = 17 + 6

Combine like terms: 17 + 6 = 23
3a = 23

Divide each side by '3'.
a = 7.666666667

Simplifying
a = 7.666666667