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$Solve for x. Express your answer as a proper or improper fraction in simplest terms. -(1)/(4)=(1)/(5)x+(1)/(4) Answer: x=$

Solve for $x$ . Express your answer as a proper or improper fraction in simplest terms. $\newline$ $-\frac{1}{4}=\frac{1}{5} x+\frac{1}{4}$ $\newline$ Answer: $x=$

Full solution

Q. Solve for

x

. Express your answer as a proper or improper fraction in simplest terms.

\newline

-\frac{1}{4}=\frac{1}{5} x+\frac{1}{4}

\newline

Answer:

x=

Write Equation: Write down the equation. $\newline$ $-\frac{1}{4} = \frac{1}{5}x + \frac{1}{4}$
Subtract to Isolate x: Subtract $(\frac{1}{4})$ from both sides to isolate the term with x on one side. $\newline$ -\left(\frac{$1$}{$4$}\right) - \left(\frac{$1$}{$4$}\right) = \left(\frac{$1$}{$5$}\right)x + \left(\frac{$1$}{$4$}\right) - \left(\frac{$1$}{$4$}\right)
Simplify Equation: Simplify both sides of the equation.\(\newline $-\frac{1}{4} - \frac{1}{4} = \frac{1}{5}x$ $\newline$ $-\frac{2}{4} = \frac{1}{5}x$ $\newline$ $-\frac{1}{2} = \frac{1}{5}x$
Multiply by Reciprocal: Multiply both sides by the reciprocal of $\frac{1}{5}$ to solve for $x$ . $-\frac{1}{2} \times \frac{5}{1} = \left(\frac{1}{5}\right)x \times \frac{5}{1}$
Final Solution: Simplify both sides of the equation. $\newline$ $-\frac{5}{2} = x$