Question

what is the value of x in the equation 5/2(4x + 8)=40? x = 3 x = 2 x=-2 x = 4

Explanation:

Step1: Expand the left - hand side

$\frac{2}{5}(4x + 8)=\frac{2\times4x}{5}+\frac{2\times8}{5}=\frac{8x}{5}+\frac{16}{5}$

Step2: Set up the equation

$\frac{8x}{5}+\frac{16}{5}=40$

Step3: Multiply through by 5 to clear the fraction

$8x + 16=200$

Step4: Subtract 16 from both sides

$8x=200 - 16=184$

Step5: Divide both sides by 8

$x=\frac{184}{8}=23$

Answer:

$x = 23$