Solve for x. 3-(x+1)/(3)=(3x-8)/(15) Answer:

Find Common Denominator: First, we need to eliminate the fractions by finding a common denominator, which is 15, and multiply both sides of the equation by this number to clear the fractions. 3 * 15 - 15 * (x + 1) / 3 = 15 * (3x - 8) / 15Simplify Equation: Now, we simplify both sides of the equation. 45 - 5 * (x + 1) = 3x - 8Distribute -5: Next, distribute the -5 on the left side of the equation. 45 - 5x - 5 = 3x - 8Combine Like Terms: Combine like terms on the left side. 40 - 5x = 3x - 8Isolate X Terms: Now, we want to get all the x terms on one side and the constants on the other side. Add 5x to both sides and add 8 to both sides. 40 - 5x + 5x + 8 = 3x + 5x - 8 + 8Combine Like Terms: Combine like terms on both sides. 48 = 8xDivide by 8: Finally, divide both sides by 8 to solve for x. 48 / 8 = 8x / 8Solve for X: Simplify to find the value of x. x = 6

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3-(x+1)/(3)=(3x-8)/(15)
Answer:

Solve for $\mathrm{x}$ . $\newline$ $3-\frac{x+1}{3}=\frac{3 x-8}{15}$ $\newline$ Answer:

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Algebra 1

Solve linear equations: mixed review

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Q. Solve for

\mathrm{x}

\newline

3-\frac{x+1}{3}=\frac{3 x-8}{15}

\newline

Answer:

Find Common Denominator: First, we need to eliminate the fractions by finding a common denominator, which is $15$ , and multiply both sides of the equation by this number to clear the fractions. $\newline$ $3 \times 15 - 15 \times (x + 1) / 3 = 15 \times (3x - 8) / 15$
Simplify Equation: Now, we simplify both sides of the equation. $\newline$ $45 - 5 \times (x + 1) = 3x - 8$
Distribute $-5$ : Next, distribute the $-5$ on the left side of the equation. $\newline$ $45 - 5x - 5 = 3x - 8$
Combine Like Terms: Combine like terms on the left side. $\newline$ $40 - 5x = 3x - 8$
Isolate X Terms: Now, we want to get all the $x$ terms on one side and the constants on the other side. Add $5x$ to both sides and add $8$ to both sides. $\newline$ $40 - 5x + 5x + 8 = 3x + 5x - 8 + 8$
Combine Like Terms: Combine like terms on both sides. $\newline$ $48 = 8x$
Divide by $8$ : Finally, divide both sides by $8$ to solve for $x$ . $\frac{48}{8} = \frac{8x}{8}$
Solve for X: Simplify to find the value of $x$ . $x = 6$