How do you simplify #[(X+2) / (X-1)] = [1/2]#? Algebra Rational Equations and Functions Clearing Denominators in Rational Equations 1 Answer George C. · AAA Nov 3, 2015 Answer: Rearrange to find: #X = -5# Explanation: Given: #(X+2)/(X-1) = 1/2# Multiply both sides by #2(X-1)# to get: #2(X+2)=(X-1)# Simplify #2X+4=X-1# Transpose and combine like-terms #2X-X= -4-1# Simplify #X=-5# Related questions What is Clearing Denominators in Rational Equations? How do you solve rational expressions by multiplying by the least common multiple? How do you solve #5x-\frac{1}{x}=4#? How do you solve #-3 + \frac{1}{x+1}=\frac{2}{x}# by finding the least common multiple? What is the least common multiple for #\frac{x}{x-2}+\frac{x}{x+3}=\frac{1}{x^2+x-6}# and how do ... How do you solve #\frac{x}{x^2-36}+\frac{1}{x-6}=\frac{1}{x+6}#? How do you solve by clearing the denominator of #3/x+2/x^2=4#? How do you solve #2/(x^2+2x+1)-3/(x+1)=4#? How do you solve equations with rational expressions #1/x+2/x=10#? How do you solve for y in #(y+5)/ 2 - y/3 =1#? See all questions in Clearing Denominators in Rational Equations Impact of this question 197 views around the world You can reuse this answer Creative Commons License
