(17x+3)+9(x-3)=3(7x+2)

Solution for (17x+3)+9(x-3)=3(7x+2) equation:

Simplifying
(17x + 3) + 9(x + -3) = 3(7x + 2)

Reorder the terms:
(3 + 17x) + 9(x + -3) = 3(7x + 2)

Remove parenthesis around (3 + 17x)
3 + 17x + 9(x + -3) = 3(7x + 2)

Reorder the terms:
3 + 17x + 9(-3 + x) = 3(7x + 2)
3 + 17x + (-3 * 9 + x * 9) = 3(7x + 2)
3 + 17x + (-27 + 9x) = 3(7x + 2)

Reorder the terms:
3 + -27 + 17x + 9x = 3(7x + 2)

Combine like terms: 3 + -27 = -24
-24 + 17x + 9x = 3(7x + 2)

Combine like terms: 17x + 9x = 26x
-24 + 26x = 3(7x + 2)

Reorder the terms:
-24 + 26x = 3(2 + 7x)
-24 + 26x = (2 * 3 + 7x * 3)
-24 + 26x = (6 + 21x)

Solving
-24 + 26x = 6 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-24 + 26x + -21x = 6 + 21x + -21x

Combine like terms: 26x + -21x = 5x
-24 + 5x = 6 + 21x + -21x

Combine like terms: 21x + -21x = 0
-24 + 5x = 6 + 0
-24 + 5x = 6

Add '24' to each side of the equation.
-24 + 24 + 5x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 6 + 24
5x = 6 + 24

Combine like terms: 6 + 24 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6