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

Simplify equation: Simplify the left side of the equation. 2 - 1/4 can be rewritten as 8/4 - 1/4, which simplifies to 7/4. So, the equation becomes 7/4 = (2x - 5)/12.Cross-multiply: Cross-multiply to eliminate the fractions. Multiply both sides of the equation by 12 to get rid of the denominator on the right side. 12 * (7/4) = 12 * ((2x - 5)/12) This simplifies to 3 * 7 = 2x - 5.Simplify left side: Simplify the left side of the equation. 3 * 7 equals 21, so the equation now is 21 = 2x - 5.Add 5: Add 5 to both sides of the equation to isolate the term with the variable x. 21 + 5 = 2x - 5 + 5 This simplifies to 26 = 2x.Divide by 2: Divide both sides of the equation by 2 to solve for x. 26 / 2 = 2x / 2 This simplifies to x = 13.

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2-(1)/(4)=(2x-5)/(12)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $2-\frac{1}{4}=\frac{2 x-5}{12}$ $\newline$ Answer:

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

\mathrm{x}

\newline

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

\newline

Answer:

Simplify equation: Simplify the left side of the equation. $\newline$ $2 - \frac{1}{4}$ can be rewritten as $\frac{8}{4} - \frac{1}{4}$ , which simplifies to $\frac{7}{4}$ . $\newline$ So, the equation becomes $\frac{7}{4} = \frac{2x - 5}{12}$ .
Cross-multiply: Cross-multiply to eliminate the fractions. $\newline$ Multiply both sides of the equation by $12$ to get rid of the denominator on the right side. $\newline$ $12 \times (\frac{7}{4}) = 12 \times (\frac{2x - 5}{12})$ $\newline$ This simplifies to $3 \times 7 = 2x - 5$ .
Simplify left side: Simplify the left side of the equation. $3 \times 7$ equals $21$ , so the equation now is $21 = 2x - 5$ .
Add $5$ : Add $5$ to both sides of the equation to isolate the term with the variable $x$ . $\newline$ $21 + 5 = 2x - 5 + 5$ $\newline$ This simplifies to $26 = 2x$ .
Divide by $2$ : Divide both sides of the equation by $2$ to solve for $x$ . $\frac{26}{2} = \frac{2x}{2}$ This simplifies to $x = 13$ .