6(5a-3)+17=3(1-2a)

Solution for 6(5a-3)+17=3(1-2a) equation:

Simplifying
6(5a + -3) + 17 = 3(1 + -2a)

Reorder the terms:
6(-3 + 5a) + 17 = 3(1 + -2a)
(-3 * 6 + 5a * 6) + 17 = 3(1 + -2a)
(-18 + 30a) + 17 = 3(1 + -2a)

Reorder the terms:
-18 + 17 + 30a = 3(1 + -2a)

Combine like terms: -18 + 17 = -1
-1 + 30a = 3(1 + -2a)
-1 + 30a = (1 * 3 + -2a * 3)
-1 + 30a = (3 + -6a)

Solving
-1 + 30a = 3 + -6a

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
-1 + 30a + 6a = 3 + -6a + 6a

Combine like terms: 30a + 6a = 36a
-1 + 36a = 3 + -6a + 6a

Combine like terms: -6a + 6a = 0
-1 + 36a = 3 + 0
-1 + 36a = 3

Add '1' to each side of the equation.
-1 + 1 + 36a = 3 + 1

Combine like terms: -1 + 1 = 0
0 + 36a = 3 + 1
36a = 3 + 1

Combine like terms: 3 + 1 = 4
36a = 4

Divide each side by '36'.
a = 0.1111111111

Simplifying
a = 0.1111111111