Math, asked by ishantgupta7275, 1 month ago

solve the equation: x-1/4 +2=1+2x+3/6​

Answers

Answered by p14829
3

Answer: 1/4

Step-by-step explanation:

Answered by delaygameidoffical
0

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}

Similar questions