How do you solve \frac { 3} { 6} ( 4x - 8) = 7x - 25?
2 Answers
Explanation:
"simplify and distribute the bracket on the left side"
rArr1/2(4x-8)=7x-25
rArr2x-4=7x-25
"subtract 7x from both sides"
2x-7x-4=cancel(7x)cancel(-7x)-25
rArr-5x-4=-25
"add 4 to both sides"
-5xcancel(-4)cancel(+4)=-25+4
rArr-5x=-21
"divide both sides by"-5
(cancel(-5) x)/cancel(-5)=(-21)/(-5)
rArrx=21/5
color(blue)"As a check" Substitute this value into the equation and if both sides are equal then it is the solution.
"left "=1/2(84/5-40/5)=1/2xx44/5=22/5
"right "=147/5-125/5=22/5
rArrx=21/5" is the solution"
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