Find the value of x for the provided equation 0.09(x+200)=0.08x+22.

FizeauV

FizeauV

Answered question

2021-03-11

Find the value of x for the provided equation 0.09(x+200)=0.08x+22.

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-03-12Added 84 answers

Procedure: To solve the equation that involve decimals, there are two commonly used procedures. One procedure is to keep the numbers in decimal form, then solve the equation by applying the properties. Second procedure is to multiply both sides of the equation by an appropriate power of 10 to clear the equation of all decimals. Calculation: Consider, 0.09(x+200)=0.08x+22 Since, clear the decimals by multiplying both sides of the equation by 100. 100[0.09(x+200)]=100[0.08x+22]
9(x+200)=100(0.08x+22)
9x+1800=9x+2200, apply distributive property on the both side. 9x8x=22001800
x=400 Thus, the solution is x=400. Answer: The solution set is x=400.

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