Question

Select the graph of the solution set that would represent the following expression. 3(x - 2) = 5 (x + 1)

Answer 1

The solution set is $x=-\frac{11}{2}$

Step-by-step explanation:

The given expression is $3(x-2)=5(x+1)$

Multiplying the terms, we get,

$3x-6=5x+5$

Subtracting 3x from both sides of the equation,

$-6=2x+5$

Subtracting 5 from both sides of the equation,

$-11=2x$

Dividing both sides by 2, we get,

$-\frac{11}{2} =x$

Thus, the solution set is $x=-\frac{11}{2}$

The graph the solution set $x=-\frac{11}{2}$ is to plot this value in the number line.

The graph for the solution set $x=-\frac{11}{2}$ is attached below: