Solve 3x/0.5-1.4-x/0.4=1

$$\frac{ 3x }{ 0.5 } - \frac{ 1.4-x }{ 0.4 } =1$$

Solve for x

$$x=\frac{9}{17}\approx 0.529411765$$

Steps for Solving Linear Equation

Divide 3x by 0.5 to get 6x.

$$6x-\frac{1.4-x}{0.4}=1$$

Divide each term of 1.4-x by 0.4 to get \frac{1.4}{0.4}+\frac{-x}{0.4}.

$$6x-\left(\frac{1.4}{0.4}+\frac{-x}{0.4}\right)=1$$

Expand \frac{1.4}{0.4} by multiplying both numerator and the denominator by 10.

$$6x-\left(\frac{14}{4}+\frac{-x}{0.4}\right)=1$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$6x-\left(\frac{7}{2}+\frac{-x}{0.4}\right)=1$$

Divide -x by 0.4 to get -2.5x.

$$6x-\left(\frac{7}{2}-2.5x\right)=1$$

To find the opposite of \frac{7}{2}-2.5x, find the opposite of each term.

$$6x-\frac{7}{2}-\left(-2.5x\right)=1$$

The opposite of -2.5x is 2.5x.

$$6x-\frac{7}{2}+2.5x=1$$

Combine 6x and 2.5x to get 8.5x.

$$8.5x-\frac{7}{2}=1$$

Add \frac{7}{2} to both sides.

$$8.5x=1+\frac{7}{2}$$

Convert 1 to fraction \frac{2}{2}.

$$8.5x=\frac{2}{2}+\frac{7}{2}$$

Since \frac{2}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.

$$8.5x=\frac{2+7}{2}$$

Add 2 and 7 to get 9.

$$8.5x=\frac{9}{2}$$

Divide both sides by 8.5.

$$x=\frac{\frac{9}{2}}{8.5}$$

Express \frac{\frac{9}{2}}{8.5} as a single fraction.

$$x=\frac{9}{2\times 8.5}$$

Multiply 2 and 8.5 to get 17.

$$x=\frac{9}{17}$$