How do you solve #-22= - \frac { x } { 7}#?

1 Answer
Jim G.
Nov 17, 2016

#x=154#

Explanation:

The first step here is to ' eliminate' the fraction. That is the 7 on the denominator of the fraction on the right side of the equation.

Whatever operation we perform on an equation must be done to both sides to retain the ' balance' of the equation.

multiply both sides by 7 to eliminate the fraction.

#(7xx-22)=cancel(7)^1xx-x/cancel(7)^1#

#rArr-154=-xlarr" no fraction"#

To obtain x, multiply both sides by - 1

#(-1xx-154)=(-1xx-x)#

Remember that a #color(red)"negative times a negative" =color(blue)" positive"#

#rArr154=x" or " x=154#

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