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Step-by-step Solution

Solve the equation 1-(2u-3)/4=(2-5u)/3-3u

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Answer

$u=-\frac{1}{14}$

Step-by-step explanation

Problem to solve:

$1-\frac{2u-3}{4}=\frac{2-5u}{3}-3u$
1

Grouping terms

$1+\frac{-2u+3}{4}+\frac{-2+5u}{3}+3u=0$
2

Multiply the fractions by the least common multiple of the denominators

$12\left(\frac{-2u+3}{4}\right)+12\left(\frac{-2+5u}{3}\right)=120$

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Answer

$u=-\frac{1}{14}$
$1-\frac{2u-3}{4}=\frac{2-5u}{3}-3u$

Main topic:

Polynomials

Time to solve it:

~ 0.73 seconds