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

Combine fractions with common denominator: Combine the terms on the left side of the equation to have a common denominator. To combine (x+7)/(6x) and 2, we need to express 2 as a fraction with a denominator of 6x: 2 = 2 * (6x)/(6x) = (12x)/(6x) Now we can combine the fractions: (x+7)/(6x) + (12x)/(6x) = (x+7+12x)/(6x) Simplify the numerator: (x+7+12x)/(6x) = (13x+7)/(6x)Rewrite equation with combined left side: Rewrite the equation with the combined left side. (13x+7)/(6x) = (2x-1)/xCross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. (13x+7)(x) = (6x)(2x-1)Distribute and simplify both sides: Distribute to simplify both sides of the equation. 13x^2 + 7x = 12x^2 - 6xMove terms to set equation to zero: Move all terms to one side to set the equation to zero and combine like terms. 13x^2 + 7x - 12x^2 + 6x = 0 x^2 + 13x = 0

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Solve for
x.

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

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

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

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Q. Solve for

x

\newline

\frac{x+7}{6 x}+2=\frac{2 x-1}{x}

\newline

Answer:

x=

Combine fractions with common denominator: Combine the terms on the left side of the equation to have a common denominator. $\newline$ To combine $(x+7)/(6x)$ and $2$ , we need to express $2$ as a fractions" target="_blank" class="backlink">fraction with a denominator of $6x$ : $\newline$ $2 = 2 \times (6x)/(6x) = (12x)/(6x)$ $\newline$ Now we can combine the fractions: $\newline$ $(x+7)/(6x) + (12x)/(6x) = (x+7+12x)/(6x)$ $\newline$ Simplify the numerator: $\newline$ $(x+7+12x)/(6x) = (13x+7)/(6x)$
Rewrite equation with combined left side: Rewrite the equation with the combined left side. $\newline$ $(\frac{13x+7}{6x}) = (\frac{2x-1}{x})$
Cross-multiply to eliminate fractions: Cross-multiply to eliminate the fractions. $\newline$ $(13x+7)(x) = (6x)(2x-1)$
Distribute and simplify both sides: Distribute to simplify both sides of the equation. $13x^2 + 7x = 12x^2 - 6x$
Move terms to set equation to zero: Move all terms to one side to set the equation to zero and combine like terms. $\newline$ $13x^2 + 7x - 12x^2 + 6x = 0$ $\newline$ $x^2 + 13x = 0$