3(-5x+1)-(2x-3)=23

Solution for 3(-5x+1)-(2x-3)=23 equation:

Simplifying
3(-5x + 1) + -1(2x + -3) = 23

Reorder the terms:
3(1 + -5x) + -1(2x + -3) = 23
(1 * 3 + -5x * 3) + -1(2x + -3) = 23
(3 + -15x) + -1(2x + -3) = 23

Reorder the terms:
3 + -15x + -1(-3 + 2x) = 23
3 + -15x + (-3 * -1 + 2x * -1) = 23
3 + -15x + (3 + -2x) = 23

Reorder the terms:
3 + 3 + -15x + -2x = 23

Combine like terms: 3 + 3 = 6
6 + -15x + -2x = 23

Combine like terms: -15x + -2x = -17x
6 + -17x = 23

Solving
6 + -17x = 23

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 + -17x = 23 + -6

Combine like terms: 6 + -6 = 0
0 + -17x = 23 + -6
-17x = 23 + -6

Combine like terms: 23 + -6 = 17
-17x = 17

Divide each side by '-17'.
x = -1

Simplifying
x = -1