Solve 4x:1/3=(3-x):0.75

$$4 x : \frac { 1 } { 3 } = ( 3 - x ) : 0.75$$

Solve for x

$$x=0.3$$

Steps for Solving Linear Equation

Divide 4x by \frac{1}{3} to get 12x.

$$12x=\frac{3-x}{0.75}$$

Divide each term of 3-x by 0.75 to get \frac{3}{0.75}+\frac{-x}{0.75}.

$$12x=\frac{3}{0.75}+\frac{-x}{0.75}$$

Expand \frac{3}{0.75} by multiplying both numerator and the denominator by 100.

$$12x=\frac{300}{75}+\frac{-x}{0.75}$$

Divide 300 by 75 to get 4.

$$12x=4+\frac{-x}{0.75}$$

Divide -x by 0.75 to get -\frac{4}{3}x.

$$12x=4-\frac{4}{3}x$$

Add \frac{4}{3}x to both sides.

$$12x+\frac{4}{3}x=4$$

Combine 12x and \frac{4}{3}x to get \frac{40}{3}x.

$$\frac{40}{3}x=4$$

Divide both sides by \frac{40}{3}.

$$x=\frac{4}{\frac{40}{3}}$$