solve $\frac{5}{x - 6} + 2 = \frac{21}{x - 6}$. what is x? x equals 7 x…

solve $\frac{5}{x - 6} + 2 = \frac{21}{x - 6}$. what is x?
x equals 7
x equals 6
x equals -6
x equals 14

Understand the question
solve $\frac{5}{x - 6} + 2 = \frac{21}{x - 6}$. what is x?
x equals 7
x equals 6
x equals -6
x equals 14
Explanation
Step1: Eliminate denominator

Multiply all terms by $(x-6)$:
$$5 + 2(x-6) = 21$$

Step2: Expand the bracket

Calculate $2(x-6)$:
$$5 + 2x - 12 = 21$$

Step3: Simplify left side

Combine constant terms:
$$2x - 7 = 21$$

Step4: Isolate variable term

Add 7 to both sides:
$$2x = 28$$

Step5: Solve for x

Divide by 2 on both sides:
$$x = 14$$
Final answer
x equals 14

Multiply all terms by $(x-6)$:
$$5 + 2(x-6) = 21$$

Calculate $2(x-6)$:
$$5 + 2x - 12 = 21$$

Combine constant terms:
$$2x - 7 = 21$$

Add 7 to both sides:
$$2x = 28$$

Divide by 2 on both sides:
$$x = 14$$

x equals 14

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Subject mathematics

Sub Subject algebra

Education Level high school

Difficulty unspecified

Question Type multiple choice, calculation

Multi Question No

Question Count 1

Analysis Status completed

Analyzed At 2026-02-09T19:48:53

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solve $\frac{5}{x - 6} + 2 = \frac{21}{x - 6}$. what is x?
x equals 7
x equals 6
x equals -6
x equals 14

mathematicsalgebramultiple choice, calculationhigh schoolturns-1

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