Respuesta :
Answer:
x = -56
Step-by-step explanation:
0.75(x + 20) = 2 + 0.5(x - 2)
0.75x + 15 = 2 + 0.5x - 1
0.25x = -14
x = -14/0.25
x = -56
Step 1: Simplify both sides of the equation.
0.75 (x + 20) = 2 + 0.5 (x − 2)
(0.75)(x)+(0.75)(20) = 2+(0.5) (x) + (0.5)(−2)
(Distribute)
0.75x + 15 = 2 + 0.5x + −1
0.75x + 15 = (0.5x) + (2 + -1)
(Combine Like Terms)
0.75x + 15 = 0.5x + 1
Step 2: Subtract 0.5x from both sides.
0.75x + 15 − 0.5x = 0.5x + 1 − 0.5x
0.25x + 15 = 1
Step 3: Subtract 15 from both sides.
0.25x + 15 − 15 = 1 − 15
0.25x = −14
Step 4: Divide both sides by 0.25.
0.25x/0.25 = −14/0.25x
x = -56
0.75 (x + 20) = 2 + 0.5 (x − 2)
(0.75)(x)+(0.75)(20) = 2+(0.5) (x) + (0.5)(−2)
(Distribute)
0.75x + 15 = 2 + 0.5x + −1
0.75x + 15 = (0.5x) + (2 + -1)
(Combine Like Terms)
0.75x + 15 = 0.5x + 1
Step 2: Subtract 0.5x from both sides.
0.75x + 15 − 0.5x = 0.5x + 1 − 0.5x
0.25x + 15 = 1
Step 3: Subtract 15 from both sides.
0.25x + 15 − 15 = 1 − 15
0.25x = −14
Step 4: Divide both sides by 0.25.
0.25x/0.25 = −14/0.25x
x = -56