Solve for x. (3x-7)/(x)-(7)/(8x)=(3)/(8) Answer: x=

Find Common Denominator: Find a common denominator for the fractions on the left side of the equation. The common denominator for x and 8x is 8x. Rewrite the equation with the common denominator. (3x-7)/(x) * (8/8) - (7)/(8x) * (x/x) = (3)/(8) (24x-56)/(8x) - (7x)/(8x) = (3)/(8)Combine Fractions: Combine the fractions on the left side of the equation. Since they have the same denominator, combine the numerators. (24x - 56 - 7x)/(8x) = (3)/(8) (17x - 56)/(8x) = (3)/(8)Cross-Multiply: Cross-multiply to eliminate the fractions. (17x - 56) * 8 = 3 * 8x 136x - 448 = 24xIsolate Variable: Isolate the variable x on one side of the equation. Subtract 24x from both sides to move the x terms to one side. 136x - 448 - 24x = 24x - 24x 112x - 448 = 0Add and Divide: Add 448 to both sides to isolate the term with x. 112x - 448 + 448 = 0 + 448 112x = 448Divide both sides by 112 to solve for x. 112x / 112 = 448 / 112 x = 4

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(3x-7)/(x)-(7)/(8x)=(3)/(8)
Answer:
x=

Solve for $x$ . $\newline$ $\frac{3 x-7}{x}-\frac{7}{8 x}=\frac{3}{8}$ $\newline$ Answer: $x=$

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Math Problems

Grade 8

Solve equations with the distributive property

Full solution

Q. Solve for

x

\newline

\frac{3 x-7}{x}-\frac{7}{8 x}=\frac{3}{8}

\newline

Answer:

x=

Find Common Denominator: Find a common denominator for the fractions on the left side of the equation. $\newline$ The common denominator for $x$ and $8x$ is $8x$ . $\newline$ Rewrite the equation with the common denominator. $\newline$ $\frac{3x-7}{x} \cdot \frac{8}{8} - \frac{7}{8x} \cdot \frac{x}{x} = \frac{3}{8}$ $\newline$ $\frac{24x-56}{8x} - \frac{7x}{8x} = \frac{3}{8}$
Combine Fractions: Combine the fractions on the left side of the equation. $\newline$ Since they have the same denominator, combine the numerators. $\newline$ $(24x - 56 - 7x)/(8x) = \frac{3}{8}$ $\newline$ $(17x - 56)/(8x) = \frac{3}{8}$
Cross-Multiply: Cross-multiply to eliminate the fractions. $\newline$ $(17x - 56) \times 8 = 3 \times 8x$ $\newline$ $136x - 448 = 24x$
Isolate Variable: Isolate the variable $x$ on one side of the equation. $\newline$ Subtract $24x$ from both sides to move the $x$ terms to one side. $\newline$ $136x - 448 - 24x = 24x - 24x$ $\newline$ $112x - 448 = 0$
Add and Divide: Add $448$ to both sides to isolate the term with $x$ . $\newline$ $112x - 448 + 448 = 0 + 448$ $\newline$ $112x = 448$
Add and Divide: Add $448$ to both sides to isolate the term with $x$ . $\newline$ $112x - 448 + 448 = 0 + 448$ $\newline$ $112x = 448$ Divide both sides by $112$ to solve for $x$ . $\newline$ $\frac{112x}{112} = \frac{448}{112}$ $\newline$ $x = 4$