Evaluate. (5x)/(2)=11+(2x)/(3)

Multiply by LCM: Multiply both sides of the equation by the least common multiple (LCM) of the denominators to eliminate the fractions. The LCM of 2 and 3 is 6. So we multiply both sides by 6 to get: 6 * (5x/2) = 6 * (11 + 2x/3)Distribute 6: Distribute the 6 on both sides of the equation. (6 * 5x)/2 = 6 * 11 + (6 * 2x)/3Simplify equation: Simplify both sides of the equation. (3 * 5x) = 66 + (2 * 2x) 15x = 66 + 4xSubtract 4x: Subtract 4x from both sides to get all x terms on one side. 15x - 4x = 66 11x = 66Divide by 11: Divide both sides by 11 to solve for x. 11x / 11 = 66 / 11 x = 6

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Evaluate. $\newline$ $\frac{5 x}{2}=11+\frac{2 x}{3}$

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Algebra 1

Add and subtract polynomials

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Q. Evaluate.

\newline

\frac{5 x}{2}=11+\frac{2 x}{3}

Multiply by LCM: Multiply both sides of the equation by the least common multiple (LCM) of the denominators to eliminate the fractions. $\newline$ The LCM of $2$ and $3$ is $6$ . So we multiply both sides by $6$ to get: $\newline$ $6 \times (5x/2) = 6 \times (11 + 2x/3)$
Distribute $6$ : Distribute the $6$ on both sides of the equation. $\newline$ $\frac{6 \times 5x}{2} = 6 \times 11 + \frac{6 \times 2x}{3}$
Simplify equation: Simplify both sides of the equation. $\newline$ $(3 \times 5x) = 66 + (2 \times 2x)$ $\newline$ $15x = 66 + 4x$
Subtract $4x$ : Subtract $4x$ from both sides to get all $x$ terms on one side. $\newline$ $15x - 4x = 66$ $\newline$ $11x = 66$
Divide by $11$ : Divide both sides by $11$ to solve for $x$ . $\frac{11x}{11} = \frac{66}{11}$ $x = 6$