How do you solve #3/11x-2=5x-1/2#?

Answer 1

“Simplify” it by performing all of the operations to combine the terms. Then collect all of the constants on one side to calculate the variable/unknown on the other side.

# (3/11)*x − 2 = 5*x − (1/2)#

# (3/11)*x – 5*x = − (½) + 2# ; # (3/11)*x – (55/11)*x = (3/2)#

#-(52/11)*x = (3/2) ; x = -(11/52)*(3/2) ; x = -(33/104)#

CHECK: #(3/11)*(-(33/104)) − 2# = #5*(-(33/104) − (1/2)#

# (-99/1144) – 2 = (-165/104) – (1/2)#

# (-99/1144) – (2288/1144) = (-165/104) – (52/104)#

# -(2387/1144) = -(217/104)# ; # -( 217/104) = -(217/104)# CORRECT!

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Answer 2

Nathan Axel

To solve the equation (3/11)x - 2 = 5x - (1/2), first, you want to eliminate the fractions by finding a common denominator. In this case, the common denominator is 22. Then, you multiply each term by 22 to clear the fractions. After clearing the fractions, you'll simplify the equation and solve for x.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.