# Thread: Help solving an equation for the variable specified

1. ## Help solving an equation for the variable specified

mw - t = 2w + 5, for W

2. You will see that this is really easy. Just follow this method:

1. Rearrange equation to have like terms on the same side:
- All terms with the same variable go on the same side
- Any terms with a unique variable goes with the constants

So, we have:

$mw - t = 2w + 5$

Subtract 5 from both sides:

$mw - t - 5 = 2w + 5 - 5$

$mw - t - 5 = 2w$

Subtract mw from both sides:

$mw - t - 5 - mw = 2w - mw$

$t - 5 = 2w - mw$

2. Factor out a w on the right side of the equation:

$t - 5 = w(2 - m)$

Divide both sides by 2 - m:

$\frac{t - 5}{2 - m} = \frac{w(2 - m)}{2 - m}$

$\frac{t - 5}{2 - m} = w$

And there you are.