Solve for x. 6-(7)/(6)=(3x+7)/(12) Answer:

Find Common Denominator: First, we need to simplify the equation by finding a common denominator for the fractions on both sides of the equation. The common denominator for 6 and 12 is 12.Eliminate Denominators: Multiply both sides of the equation by 12 to eliminate the denominators. 12 * (6 - 7/6) = 12 * (3x + 7)/12Simplify Left Side: Simplify the left side of the equation by distributing the 12 and simplifying the fraction. 12 * 6 - 12 * (7/6) = 3x + 7 72 - 14 = 3x + 7Combine Like Terms: Combine like terms on the left side of the equation. 58 = 3x + 7Isolate x Term: Subtract 7 from both sides of the equation to isolate the term with x. 58 - 7 = 3x + 7 - 7 51 = 3xSolve for x: Divide both sides of the equation by 3 to solve for x. 51 / 3 = 3x / 3 17 = x

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6-(7)/(6)=(3x+7)/(12)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $6-\frac{7}{6}=\frac{3 x+7}{12}$ $\newline$ Answer:

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

\mathrm{x}

\newline

6-\frac{7}{6}=\frac{3 x+7}{12}

\newline

Answer:

Find Common Denominator: First, we need to simplify the equation by finding a common denominator for the fractions on both sides of the equation. The common denominator for $6$ and $12$ is $12$ .
Eliminate Denominators: Multiply both sides of the equation by $12$ to eliminate the denominators. $\newline$ $12 \times (6 - \frac{7}{6}) = 12 \times \frac{3x + 7}{12}$
Simplify Left Side: Simplify the left side of the equation by distributing the $12$ and simplifying the fraction. $12 \times 6 - 12 \times \left(\frac{7}{6}\right) = 3x + 7$ $72 - 14 = 3x + 7$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ $58 = 3x + 7$
Isolate x Term: Subtract $7$ from both sides of the equation to isolate the term with $x$ . $\newline$ $58 - 7 = 3x + 7 - 7$ $\newline$ $51 = 3x$
Solve for x: Divide both sides of the equation by $3$ to solve for x. $\newline$ $\frac{51}{3} = \frac{3x}{3}$ $\newline$ $17 = x$