3(x-2)-5x=2

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

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

Reorder the terms:
3(-2 + x) + -5x = 2
(-2 * 3 + x * 3) + -5x = 2
(-6 + 3x) + -5x = 2

Combine like terms: 3x + -5x = -2x
-6 + -2x = 2

Solving
-6 + -2x = 2

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 + -2x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 2 + 6
-2x = 2 + 6

Combine like terms: 2 + 6 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4