Solve 1-2u+3/4=2-5u/3-3u

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

Solve for u

$$u=\frac{1}{10}=0.1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$12-3\left(2u+3\right)=4\left(2-5u\right)-36u$$

Use the distributive property to multiply -3 by 2u+3.

$$12-6u-9=4\left(2-5u\right)-36u$$

Subtract 9 from 12 to get 3.

$$3-6u=4\left(2-5u\right)-36u$$

Use the distributive property to multiply 4 by 2-5u.

$$3-6u=8-20u-36u$$

Combine -20u and -36u to get -56u.

$$3-6u=8-56u$$

Add 56u to both sides.

$$3-6u+56u=8$$

Combine -6u and 56u to get 50u.

$$3+50u=8$$

Subtract 3 from both sides.

$$50u=8-3$$

Subtract 3 from 8 to get 5.

$$50u=5$$

Divide both sides by 50.

$$u=\frac{5}{50}$$

Reduce the fraction \frac{5}{50} to lowest terms by extracting and canceling out 5.

$$u=\frac{1}{10}$$