Solve the equation.
-$$\frac { 2 x } { 5 } = \frac { x } { 3 } + 3$$
A) $\{ 45 \}$
B) $\{ - 45 \}$
C) $\{ 90 \}$
D) $\{ - 90 \}$

Question

Quizplus · Accepted Answer

To solve the equation, we can first simplify the right side by finding a common denominator:
$$\frac { 2 x } { 5 } = \frac { x } { 3 } + 3 \quad \Rightarrow \quad \frac { 2 x } { 5 } = \frac { x } { 3 } + \frac { 9 } { 3 } \quad \Rightarrow \quad \frac { 2 x } { 5 } = \frac { x + 9 } { 3 }$$
Next, we can cross-multiply to get rid of the fractions:
$$3(2x) = 5(x + 9) \quad \Rightarrow \quad 6x = 5x + 45 \quad \Rightarrow \quad x = 45$$
Therefore, the solution is $\boxed{\text{(A) }\{45\}}$.

Solve the Equation 2x5=x3+3\frac { 2 x } { 5 } = \frac { x } { 3 } + 352x​=3x​+3

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