Question

Solve.−4 2/5=x−1 1/4What is the solution to the equation?Enter your answer as a simplified mixed number in the box.x =

Answer 1

Answer:

$\boxed{\sf x=-3\frac{3}{20}}$

Step-by-step explanation:

$\sf -4\cfrac{2}{5}=x-1\cfrac{1}{4}$

Multiply Both sides by 20, Which is the LCM of 5, 4:

$\mapsto \sf (4\times 5+2)=20x-5(4+1)$

Multiply 4 and 5= 20, and add 20 +2 =22

$\mapsto \sf -4\times 22=20x-5(4+1)$

Multiply -4 * 22 = -88, and then add 4+1=5:

$\mapsto \sf -88=20x-5\times 5$

Multiply -5 *5 = -25:

$\mapsto \sf -88=20x-25$

Now, swap sides:

$\mapsto \sf 20x-25=-88$

Add 25 to both sides:

$\mapsto \sf 20x=-88+25$

$\mapsto \sf 20x=-63$

Divide both sides by 20:

$\mapsto \sf x=\cfrac{-63}{20}$

Now, convert an improper fraction to a mixed number: →

$\mapsto \sf x= -3\cfrac{3}{20}$

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