17x-(8x-6)=51

Solution for 17x-(8x-6)=51 equation:

Simplifying
17x + -1(8x + -6) = 51

Reorder the terms:
17x + -1(-6 + 8x) = 51
17x + (-6 * -1 + 8x * -1) = 51
17x + (6 + -8x) = 51

Reorder the terms:
6 + 17x + -8x = 51

Combine like terms: 17x + -8x = 9x
6 + 9x = 51

Solving
6 + 9x = 51

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 9x = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 51 + -6
9x = 51 + -6

Combine like terms: 51 + -6 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5