Answer:
x = -23
Explanation:
3.5(x+20) = 6 + .75(x + 1) Multiply the terms inside the parentheses on the left by 3.5 and the parentheses on the left by .75
(3.5)x +(3.5)(20) = 6 + (.75)x +(.75)(1)
3.5x + 70 = 6 + .75x + .75 Combine the 6 and .75 on the right side
3.5x + 70 = 6.75 + .75x Subtract .75x from both sides of the equation
2.75x + 70 = 6.75 Subtract 70 from both sides of the equation
2.75x = -63.25 Divide both sides by 2.75
x = -23
Check
3.5(-23+20) = 6 + .75(-23 + 1)
3.5(-3) = 6 +.75(-22)
-10.5 = 6 +(-16.5)
-10.5 = -10.5