2(x-3)=3(w-1)

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

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

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

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

Solving
-6 + 2x = -3 + 3w

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 = -3 + 6 + 3w

Combine like terms: -6 + 6 = 0
0 + 2x = -3 + 6 + 3w
2x = -3 + 6 + 3w

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

Divide each side by '2'.
x = 1.5 + 1.5w

Simplifying
x = 1.5 + 1.5w