How do you solve each equation for x: $m x + n x = p$ $mx+nx=p$ ?

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How do you solve each equation for x: $m x + n x = p$ $mx+nx=p$ ?

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Answer 1 · 2016-11-16T09:24:57

$x = \frac{p}{m + n}$ $x=p/(m+n)$

Explanation:

Take x out as a $common factor$ $color(blue)"common factor"$ on the left side of the equation.

$\Rightarrow x (m + n) = p$ $rArrx(m+n)=p$

To solve for x, divide both sides by (m + n)

$(xcancel((m+n)))/cancel((m+n))=p/(m+n)$

$rArrx=p/(m+n)" is the solution"$

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How do you solve each equation for x: $m x + n x = p$ $mx+nx=p$ ?

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How do you solve each equation for x: $m x + n x = p$ $mx+nx=p$ ?