Solve 0.7x+0.4/0.2=2x-1/3

$$\frac{ 0.7x+0.4 }{ 0.2 } = \frac{ 2x-1 }{ 3 }$$

Solve for x

$$x=-\frac{14}{17}\approx -0.823529412$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3\times \frac{0.7x+0.4}{0.2}=2x-1$$

Divide each term of 0.7x+0.4 by 0.2 to get \frac{0.7x}{0.2}+\frac{0.4}{0.2}.

$$3\left(\frac{0.7x}{0.2}+\frac{0.4}{0.2}\right)=2x-1$$

Divide 0.7x by 0.2 to get 3.5x.

$$3\left(3.5x+\frac{0.4}{0.2}\right)=2x-1$$

Expand \frac{0.4}{0.2} by multiplying both numerator and the denominator by 10.

$$3\left(3.5x+\frac{4}{2}\right)=2x-1$$

Divide 4 by 2 to get 2.

$$3\left(3.5x+2\right)=2x-1$$

Use the distributive property to multiply 3 by 3.5x+2.

$$10.5x+6=2x-1$$

Subtract 2x from both sides.

$$10.5x+6-2x=-1$$

Combine 10.5x and -2x to get 8.5x.

$$8.5x+6=-1$$

Subtract 6 from both sides.

$$8.5x=-1-6$$

Subtract 6 from -1 to get -7.

$$8.5x=-7$$

Divide both sides by 8.5.

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

Expand \frac{-7}{8.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-70}{85}$$

Reduce the fraction \frac{-70}{85} to lowest terms by extracting and canceling out 5.

$$x=-\frac{14}{17}$$