Solve for x. (2x+7)/(6)+(1)/(8)=(7)/(24) Answer:

Find Common Denominator: Find a common denominator for the fractions on the left side of the equation. The common denominator for 6 and 8 is 24. We will convert each fraction to have this common denominator. (2x+7)/6 * (4/4) + 1/8 * (3/3) = (7)/(24) (8(2x+7))/24 + (3)/24 = (7)/(24)Combine Fractions: Combine the fractions on the left side of the equation. (8(2x+7) + 3)/24 = (7)/(24)Set Numerators Equal: Since the denominators are the same, we can set the numerators equal to each other. 8(2x+7) + 3 = 7Distribute 8: Distribute the 8 into the parentheses. 16x + 56 + 3 = 7Combine Like Terms: Combine like terms on the left side of the equation. 16x + 59 = 7Subtract 59: Subtract 59 from both sides of the equation to isolate the term with x. 16x + 59 - 59 = 7 - 59 16x = -52Divide by 16: Divide both sides by 16 to solve for x. 16x / 16 = -52 / 16 x = -52 / 16Simplify Fraction: Simplify the fraction to find the value of x. x = -13/4

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(2x+7)/(6)+(1)/(8)=(7)/(24)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{2 x+7}{6}+\frac{1}{8}=\frac{7}{24}$ $\newline$ Answer:

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

\mathrm{x}

\newline

\frac{2 x+7}{6}+\frac{1}{8}=\frac{7}{24}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions on the left side of the equation. $\newline$ The common denominator for $6$ and $8$ is $24$ . We will convert each fraction to have this common denominator. $\newline$ $\frac{2x+7}{6} \times \frac{4}{4} + \frac{1}{8} \times \frac{3}{3} = \frac{7}{24}$ $\newline$ $\frac{8(2x+7)}{24} + \frac{3}{24} = \frac{7}{24}$
Combine Fractions: Combine the fractions on the left side of the equation. $\newline$ $(\frac{8(2x+7) + 3}{24} = \frac{7}{24})$
Set Numerators Equal: Since the denominators are the same, we can set the numerators equal to each other. $8(2x+7) + 3 = 7$
Distribute $8$ : Distribute the $8$ into the parentheses. $16x + 56 + 3 = 7$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $16x + 59 = 7$
Subtract $59$ : Subtract $59$ from both sides of the equation to isolate the term with $x$ . $\newline$ $16x + 59 - 59 = 7 - 59$ $\newline$ $16x = -52$
Divide by $16$ : Divide both sides by $16$ to solve for x. $\newline$ $\frac{16x}{16} = \frac{-52}{16}$ $\newline$ $x = \frac{-52}{16}$
Simplify Fraction: Simplify the fraction to find the value of $x$ . $x = -\frac{13}{4}$