2(x-3)+7x=75

Solution for 2(x-3)+7x=75 equation:

Simplifying
2(x + -3) + 7x = 75

Reorder the terms:
2(-3 + x) + 7x = 75
(-3 * 2 + x * 2) + 7x = 75
(-6 + 2x) + 7x = 75

Combine like terms: 2x + 7x = 9x
-6 + 9x = 75

Solving
-6 + 9x = 75

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 = 75 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 75 + 6
9x = 75 + 6

Combine like terms: 75 + 6 = 81
9x = 81

Divide each side by '9'.
x = 9

Simplifying
x = 9