3(x-2)=x-5

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

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

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

Reorder the terms:
-6 + 3x = -5 + x

Solving
-6 + 3x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 3x + -1x = -5 + x + -1x

Combine like terms: 3x + -1x = 2x
-6 + 2x = -5 + x + -1x

Combine like terms: x + -1x = 0
-6 + 2x = -5 + 0
-6 + 2x = -5

Add '6' to each side of the equation.
-6 + 6 + 2x = -5 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -5 + 6
2x = -5 + 6

Combine like terms: -5 + 6 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5