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 = - 16 Step 4: Divide both sides by 0.05.

0.05x / 0.05 = - 16 / 0.05

x = - 320