How to make x the subject?

Question

$A - x = \frac{x r}{t}$ $A-x=(xr)/t$

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Answer 1 · 2017-03-13T07:13:13

$x = \frac{A t}{r + t}$ $x = (At)/(r+t)$

Given:

$A - x = \frac{x r}{t}$ $A-x=(xr)/t$

Mutiply both sides of the equation by $t$ $t$ to get:

$A t - x t = x r$ $At-xt = xr$

Add $x t$ $xt$ to both sides to get:

$A t = x r + x t$ $At = xr+xt$

$A t = x (r + t)$ $color(white)(At) = x(r+t)$

Divide both ends by $(r + t)$ $(r+t)$ and transpose to get:

$x = \frac{A t}{r + t}$ $x = (At)/(r+t)$