Home > Algebra > Multi-Step Equations with Like Terms

How do you solve #3/8x+5/6=5/4x+2/3# by clearing the fractions?

Answer 1

Avery Alexander

Multiply both sides of the equation by a common factor such as #24.#

Multiply both sides of the equation by a common factor such as #24#: #24*(3/8 x + 5/6) = 24*(5/4 x + 2/3)#

Simplify by dividing first, then multiplying: #(24 * 3)/8 x + (24 * 5)/6 = (24 * 5)/4 x + (24 * 2)/3#

#3*3 x + 4*5 = 6*5 x + 8*2#

#9x + 20 = 30x + 16#

Subtract or Add Like terms:

#9x - 30x = 16 - 20#

#-21x = -4#

Divide by #-21# to isolate the variable #x#: #x = 4/21#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

To solve the equation 3/8x + 5/6 = 5/4x + 2/3 by clearing the fractions, you would first find the least common denominator (LCD) of the fractions involved. In this case, the LCD is 24. Then, you would multiply every term in the equation by 24 to eliminate the fractions. After multiplying, you would simplify the equation and solve for x.

By signing up, you agree to our Terms of Service and Privacy Policy

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.