How do you solve for x in $a x + b = c x - d$ $ax+b=cx-d$ ?

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Answer 1 · 2016-02-27T04:18:11

$x = \frac{b + d}{c - a}$ $x = (b +d) / (c-a)$

$a x + b = c x - d$ $color(blue)(ax) +b = color(blue)(cx)-d$

$b + d = c x - a x$ $b +d = color(blue)(cx-ax$

$b + d = x (c - a)$ $b +d = x color(blue)((c-a))$

$x = \frac{b + d}{c - a}$ $x = (b +d) / (c-a)$

How do you solve for x in ax+b=cx-dax+b=cx−dax+b=cx-d?