17x-(9x-2)=42

Solution for 17x-(9x-2)=42 equation:

Simplifying
17x + -1(9x + -2) = 42

Reorder the terms:
17x + -1(-2 + 9x) = 42
17x + (-2 * -1 + 9x * -1) = 42
17x + (2 + -9x) = 42

Reorder the terms:
2 + 17x + -9x = 42

Combine like terms: 17x + -9x = 8x
2 + 8x = 42

Solving
2 + 8x = 42

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 42 + -2
8x = 42 + -2

Combine like terms: 42 + -2 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5