3x-1=2(x-3)

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

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

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

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

Solving
-1 + 3x = -6 + 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.
-1 + 3x + -2x = -6 + 2x + -2x

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

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

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

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

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

Divide each side by '1'.
x = -5

Simplifying
x = -5