Solve the equation. $9 ( 2 x + 3 ) = 7 ( 3 x - 2 )$
A) $\left\{ - \frac { 38 } { 3 } \right\}$
B) $\left\{ \frac { 38 } { 3 } \right\}$
C) $\left\{ \frac { 41 } { 3 } \right\}$
D) $\left\{ - \frac { 41 } { 3 } \right\}$
E) $\varnothing$

Question

Quizplus · Accepted Answer

We can start by simplifying the left and right sides of the equation:
$$9(2x+3)=7(3x-2)$$
$$18x+27=21x-14$$
$$18x-21x=-14-27$$
$$-3x=-41$$
$$x=\frac{41}{3}$$
Therefore, the solution is $\left\{\frac{41}{3}\right\}$.

Solve the Equation 9(2x+3)=7(3x−2)9 ( 2 x + 3 ) = 7 ( 3 x - 2 )9(2x+3)=7(3x−2)

Solve the Equation $9 ( 2 x + 3 ) = 7 ( 3 x - 2 )$