How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

First m, multiply all things by 100 to get rid of decimals whiich I dislike

75(x+40)=35(x+20)+35(x+20)
we see that we can add theh common ones
75(x+40)=2(35(x+20))
75(x+40)=2(35x+70)
75x+3000=70x+140
subtract 70x from both sides
5x+3000=140
subtract 3000 from both sides
5x=2860
divide both sides by 5
x=572

one solution

0.75(x+40)=0.35(x+20)+0.35(x+20)

Step 1: Simplify both sides of the equation.

0.75(x+40)=0.35(x+20)+0.35(x+20)

Simplify

0.75x+30=0.7x+14

Step 2: Subtract 0.7x from both sides.

0.75x+30−0.7x=0.7x+14−0.7x

0.05x+30=14

Step 3: Subtract 30 from both sides.

0.05x+30−30=14−30

0.05x=−16Step 4: Divide both sides by 0.05.

0.05x/0.05=−16/0.05

x=−320