When solving -1/8 (x + 35) = −7, what is the correct sequence of operations?

ANSWER: Division, multiplication, addition is the correct sequence of operations for solving [tex]-\frac{1}{8}(x+35)=-7[/tex]SOLUTION: Given, equation is  [tex]-\frac{1}{8}(x+35)=-7[/tex]We need to solve the given equation in correct sequential order. So, let us follow the BODMAS rule. BODMAS means sequence of operations are brackets, orders, division, multiplication, addition, subtractionNow,[tex]-\frac{1}{8}(x+35)=-7[/tex]As the term in brackets cannot be processed further we can go for next term.Now the division operation has to be done first according to BODMAS- 0.125(x+35)= -7 Multiplication comes second in order.-0.125x+4.375= -7 On rearranging the terms, we get-0.125x+4.375+7=0 Now perform addition according to BODMAS-0.125x+11.375=0 0.125x=11.375 [tex]x=\frac{11.375}{0.125}=91[/tex]Hence division, multiplication, addition is the correct sequence of operations for solving [tex]-\frac{1}{8}(x+35)=-7[/tex]