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

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

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

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

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

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

Solving for variable 'w'.

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

Add '2' to each side of the equation.
-2 + 2 + 2w = -3 + 2 + 3x

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

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

Divide each side by '2'.
w = -0.5 + 1.5x

Simplifying
w = -0.5 + 1.5x