Solve for x. (3x+5)/(9)-(7)/(6)=(x-1)/(18) Answer:

Find Common Denominator: Find a common denominator for the fractions to combine them. The common denominator for 9, 6, and 18 is 18. Multiply each term by 18 to eliminate the denominators. (3x+5)/9 * 18 - 7/6 * 18 = (x-1)/18 * 18Multiply by Common Denominator: Simplify each term. (3x+5)*2 - 7*3 = x-1 6x + 10 - 21 = x - 1Simplify Terms: Combine like terms on the left side of the equation. 6x - 11 = x - 1Combine Like Terms: Isolate the variable x on one side of the equation. Subtract x from both sides to move all x terms to one side. 6x - x - 11 = x - x - 1 5x - 11 = -1Isolate Variable: Isolate x completely by adding 11 to both sides of the equation. 5x - 11 + 11 = -1 + 11 5x = 10Add 11 to Both Sides: Divide both sides by 5 to solve for x. 5x/5 = 10/5 x = 2

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(3x+5)/(9)-(7)/(6)=(x-1)/(18)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $\frac{3 x+5}{9}-\frac{7}{6}=\frac{x-1}{18}$ $\newline$ Answer:

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Math Problems

Grade 8

Solve equations with the distributive property

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Q. Solve for

\mathrm{x}

\newline

\frac{3 x+5}{9}-\frac{7}{6}=\frac{x-1}{18}

\newline

Answer:

Find Common Denominator: Find a common denominator for the fractions to combine them. $\newline$ The common denominator for $9$ , $6$ , and $18$ is $18$ . Multiply each term by $18$ to eliminate the denominators. $\newline$ $\frac{3x+5}{9} \times 18 - \frac{7}{6} \times 18 = \frac{x-1}{18} \times 18$
Multiply by Common Denominator: Simplify each term. $\newline$ $(3x+5)\times 2 - 7\times 3 = x-1$ $\newline$ $6x + 10 - 21 = x - 1$
Simplify Terms: Combine like terms on the left side of the equation. $6x - 11 = x - 1$
Combine Like Terms: Isolate the variable $x$ on one side of the equation. $\newline$ Subtract $x$ from both sides to move all $x$ terms to one side. $\newline$ $6x - x - 11 = x - x - 1$ $\newline$ $5x - 11 = -1$
Isolate Variable: Isolate $x$ completely by adding $11$ to both sides of the equation. $5x - 11 + 11 = -1 + 11$ $5x = 10$
Add $11$ to Both Sides: Divide both sides by $5$ to solve for $x$ . $\newline$ $\frac{5x}{5} = \frac{10}{5}$ $\newline$ $x = 2$