Let's solve this problem step by step.
3/4(48−16x)=4(4+2x)
Step 1: Simplify both sides of the equation.
3/4
(48−16x)=4(4+2x)
(3/4)(48)+(3/4)(−16x)=(4)(4)+(4)(2x)(Distribute)
36+−12x=16+8x
−12x+36=8x+16
Step 2: Subtract 8x from both sides.
−12x+36−8x=8x+16−8x
−20x+36=16
Step 3: Subtract 36 from both sides.
−20x+36−36=16−36
−20x=−20
Step 4: Divide both sides by -20.
-20x/-20=-20/-20
So, the answer for this problem is x=1.
