solve the equation: x-1/4 +2=1+2x+3/6
Answers
Answer: 1/4
Step-by-step explanation:
Answer:
x=1/4
Step-by-step explanation:
1. Simplify the expression
x+\frac{-1}{4}+2=1+2x+\frac{3}{6}
Group like terms:
x+\left(2+\frac{-1}{4}\right)=1+2x+\frac{3}{6}
Convert the integer into a fraction:
x+\frac{8}{4}+\frac{-1}{4}=1+2x+\frac{3}{6}
Combine the fractions:
x+\frac{\left(8-1\right)}{4}=1+2x+\frac{3}{6}
Combine the numerators:
x+\frac{7}{4}=1+2x+\frac{3}{6}
Find the greatest common factor of the numerator and denominator:
x+\frac{7}{4}=1+2x+\frac{\left(1\cdot3\right)}{\left(2\cdot3\right)}
Factor out and cancel the greatest common factor:
x+\frac{7}{4}=1+2x+\frac{1}{2}
Group like terms:
x+\frac{7}{4}=2x+\left(1+\frac{1}{2}\right)
Convert the integer into a fraction:
x+\frac{7}{4}=2x+\frac{2}{2}+\frac{1}{2}
Combine the fractions:
x+\frac{7}{4}=2x+\frac{\left(2+1\right)}{2}
Combine the numerators:
x+\frac{7}{4}=2x+\frac{3}{2}
Group all x terms on the left side of the equation
x+\frac{7}{4}=2x+\frac{3}{2}
x+\frac{7}{4}-2x=2x+\frac{3}{2}-2x
x-2x+\frac{7}{4}=2x+\frac{3}{2}-2x
-1x+\frac{7}{4}=2x+\frac{3}{2}-2x
-x+\frac{7}{4}=2x+\frac{3}{2}-2x
-x+\frac{7}{4}=2x-2x+\frac{3}{2}
-x+\frac{7}{4}=\frac{3}{2}
-x+\frac{7}{4}=\frac{3}{2}
-x+\frac{7}{4}-\frac{7}{4}=\frac{3}{2}-\frac{7}{4}
-x+\frac{7-7}{4}=\frac{3}{2}-\frac{7}{4}
-x+\frac{0}{4}=\frac{3}{2}-\frac{7}{4}
-x+0=\frac{3}{2}-\frac{7}{4}
-x=\frac{3}{2}-\frac{7}{4}
-x=\frac{3\cdot2}{2\cdot2}+\frac{-7}{4}
-x=\frac{3\cdot2}{4}+\frac{-7}{4}
-x=\frac{6}{4}+\frac{-7}{4}
-x=\frac{6-7}{4}
-x=\frac{-1}{4}
-x=\frac{-1}{4}
-x\cdot-1=\frac{-1}{4}\cdot-1
x=\frac{-1}{4}\cdot-1
x=\frac{1}{4}