(1)/(3)x+(3)/(4)=(5)/(12) Find x

Identify Equation: Identify the equation to solve. We have the equation (1)/(3)x + (3)/(4) = (5)/(12).Find Common Denominator: Find a common denominator for the fractions to combine them. The common denominator for 3, 4, and 12 is 12. We will multiply each term by 12 to clear the fractions.Multiply by Common Denominator: Multiply each term by the common denominator. (12 * (1)/(3))x + (12 * (3)/(4)) = (12 * (5)/(12))Simplify Terms: Simplify each term. (4)x + (9) = (5)Subtract to Isolate x: Subtract 9 from both sides to isolate the term with x. (4)x + (9) - (9) = (5) - (9)Simplify Equation: Simplify both sides of the equation. (4)x = -4Divide to Solve for x: Divide both sides by 4 to solve for x. (4)x / 4 = -4 / 4Find Value of x: Simplify the equation to find the value of x. x = -1

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$\frac{1}{3}x + \frac{3}{4} = \frac{5}{12}$ Find $x$

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Algebra 2

Roots of rational numbers

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\frac{1}{3}x + \frac{3}{4} = \frac{5}{12}

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x

Identify Equation: Identify the equation to solve. $\newline$ We have the equation $\frac{1}{3}x + \frac{3}{4} = \frac{5}{12}$ .
Find Common Denominator: Find a common denominator for the fractions to combine them. $\newline$ The common denominator for $3$ , $4$ , and $12$ is $12$ . We will multiply each term by $12$ to clear the fractions.
Multiply by Common Denominator: Multiply each term by the common denominator. $\newline$ $(12 \times \frac{1}{3})x + (12 \times \frac{3}{4}) = (12 \times \frac{5}{12})$
Simplify Terms: Simplify each term. $\newline$ $(4)x + (9) = (5)$
Subtract to Isolate x: Subtract $9$ from both sides to isolate the term with $x$ . $\newline$ $(4)x + (9) - (9) = (5) - (9)$
Simplify Equation: Simplify both sides of the equation. $\newline$ $(4)x = -4$
Divide to Solve for x: Divide both sides by $4$ to solve for x. $\newline$ $(4)x / 4 = -4 / 4$
Find Value of x: Simplify the equation to find the value of $x$ . $x = -1$