Question

What is value of x? Enter your answer in the box. x =

Answer 1

Answer:

x = 10

Step-by-step explanation:

$\dfrac{x+4}{8}=\dfrac{2x+1}{12}$

Cross multiply:

$\implies 12(x+4)=8(2x+1)$

Expand brackets:

$\implies 12x+48=16x+8$

Collect and combine terms:

$\implies 48-8=16x-12x\\\\\implies 40=4x$

Divide both sides by 4:

$\implies x=10$

Answer 2

$\\ \tt\hookrightarrow \dfrac{x+4}{2x+1}=\dfrac{8}{12}=2/3$

$\\ \tt\hookrightarrow 3(x+4)=2(2x+1)$

$\\ \tt\hookrightarrow 3x+12=4x+2$

$\\ \tt\hookrightarrow x=12-2$

$\\ \tt\hookrightarrow x=10$