Solve the equation.
-$$\frac { 2 x } { 5 } = \frac { x } { 3 } + 4$$
A) $\{ 60 \}$
B) $\{ - 60 \}$
C) $\{ 120 \}$
D) $\{ - 120 \}$

Question

Quizplus · Accepted Answer

To solve the equation $\frac{2x}{5} = \frac{x}{3} + 4$, first find a common denominator to combine the fractions, which is 15. Multiply both sides by 15 to clear the fractions: $15 \cdot \frac{2x}{5} = 15 \cdot (\frac{x}{3} + 4)$. This simplifies to $3 \cdot 2x = 5x + 60$, which further simplifies to $6x = 5x + 60$. Subtracting $5x$ from both sides gives $x = 60$.

Solve the Equation 2x5=x3+4\frac { 2 x } { 5 } = \frac { x } { 3 } + 452x​=3x​+4

Solve the Equation $\frac { 2 x } { 5 } = \frac { x } { 3 } + 4$