Question

27=(1245+15x)/(43+x) find x

Answer 1

Assuming the equation is written in the form

`27=(1245+15x)/(43+x)`

We will follow the steps below:

Step 1: cross multiply the expression

`27(43+x)=1245+15x`

Simplifying further

Applying PEMDAS

where P = parenthesis

E=exponents

M=multiplication

D=division

A=addition

S=subtraction

Step 2: Apply the order of operations (PEMDAS)

We will expand parenthesis, Multiply, Add and Subtract

`\begin{gathered} 27*43+27* x=1245+15x \\ 1161+27x=1245+15x \\ 1245-1161=27x-15x \\ 84=12x \end{gathered}`

Divide both sides by 12

`\begin{gathered} (84)/(12)=(12x)/(12) \\ 7=x \end{gathered}`

Therefore the value of x = 7