8x-4=3x+1. Can you help me solve this equation?

1

Step-by-step explanation: you need to get “like terms” by themselves. So to start, you can subtract 3x from both sides. Since the right side contains 3x and you are subtracting 3x, it will cancel on the right hand side, leaving you with the equation: 5x-4=1. Now, since the 4 is just 4, it does not fit in with the 5x. So, you need the 4 on the other side with the 1 because they are alike! So you will add 4 to both sides in order to cancel out the minus 4 on the left. Leaving you with 5x=5. You want to find what x stands for, so now since 5 and x are multiplying, we will divide both sides by 5 because we want x by itself! This leaves you with x=1.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2