Solve for x. -1+(5)/(4)=(2x-5)/(12) Answer:

Simplify equation: Simplify the left side of the equation by adding -1 and 5/4. -1 + (5/4) = (2x - 5)/12 -4/4 + 5/4 = (2x - 5)/12 1/4 = (2x - 5)/12Eliminate denominator: Multiply both sides of the equation by 12 to eliminate the denominator on the right side. 12 * (1/4) = 12 * ((2x - 5)/12) 3 = 2x - 5Isolate variable term: Add 5 to both sides of the equation to isolate the term with the variable x. 3 + 5 = 2x - 5 + 5 8 = 2xSolve for x: Divide both sides of the equation by 2 to solve for x. 8 / 2 = 2x / 2 4 = x

Home

Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

\mathrm{x}

\newline

-1+\frac{5}{4}=\frac{2 x-5}{12}

\newline

Answer:

Simplify equation: Simplify the left side of the equation by adding $-1$ and $\frac{5}{4}$ .
$-1 + \left(\frac{5}{4}\right) = \frac{2x - 5}{12}$
$-\frac{4}{4} + \frac{5}{4} = \frac{2x - 5}{12}$
$\frac{1}{4} = \frac{2x - 5}{12}$
Eliminate denominator: Multiply both sides of the equation by $12$ to eliminate the denominator on the right side. $\newline$ $12 \times \left(\frac{1}{4}\right) = 12 \times \left(\frac{2x - 5}{12}\right)$ $\newline$ $3 = 2x - 5$
Isolate variable term: Add $5$ to both sides of the equation to isolate the term with the variable $x$ . $\newline$ $3 + 5 = 2x - 5 + 5$ $\newline$ $8 = 2x$
Solve for x: Divide both sides of the equation by $2$ to solve for x. $\newline$ $\frac{8}{2} = \frac{2x}{2}$ $\newline$ $4 = x$