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

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

Solve for x

$$x=\frac{6}{25}=0.24$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,2,4.

$$4\left(3-x\right)-6\left(x+1\right)=3\times 5x$$

Use the distributive property to multiply 4 by 3-x.

$$12-4x-6\left(x+1\right)=3\times 5x$$

Use the distributive property to multiply -6 by x+1.

$$12-4x-6x-6=3\times 5x$$

Combine -4x and -6x to get -10x.

$$12-10x-6=3\times 5x$$

Subtract 6 from 12 to get 6.

$$6-10x=3\times 5x$$

Multiply 3 and 5 to get 15.

$$6-10x=15x$$

Subtract 15x from both sides.

$$6-10x-15x=0$$

Combine -10x and -15x to get -25x.

$$6-25x=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-25x=-6$$

Divide both sides by -25.

$$x=\frac{-6}{-25}$$

Fraction \frac{-6}{-25} can be simplified to \frac{6}{25} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{6}{25}$$