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

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

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

Reorder the terms:
5 = 3(-2 + x) + -1(x + -5)
5 = (-2 * 3 + x * 3) + -1(x + -5)
5 = (-6 + 3x) + -1(x + -5)

Reorder the terms:
5 = -6 + 3x + -1(-5 + x)
5 = -6 + 3x + (-5 * -1 + x * -1)
5 = -6 + 3x + (5 + -1x)

Reorder the terms:
5 = -6 + 5 + 3x + -1x

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

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

Solving
5 = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
5 + -2x = -1 + 2x + -2x

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

Add '-5' to each side of the equation.
5 + -5 + -2x = -1 + -5

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

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

Divide each side by '-2'.
x = 3

Simplifying
x = 3