Solve 2(0.2-4/5x)=0.8(0.3-x)

$$2 ( 0.2 - \frac { 4 } { 5 } x ) = 0.8 ( 0.3 - x )$$

Solve for x

$$x=0.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 0.2-\frac{4}{5}x.

$$0.4+2\left(-\frac{4}{5}\right)x=0.8\left(0.3-x\right)$$

Express 2\left(-\frac{4}{5}\right) as a single fraction.

$$0.4+\frac{2\left(-4\right)}{5}x=0.8\left(0.3-x\right)$$

Multiply 2 and -4 to get -8.

$$0.4+\frac{-8}{5}x=0.8\left(0.3-x\right)$$

Fraction \frac{-8}{5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$0.4-\frac{8}{5}x=0.8\left(0.3-x\right)$$

Use the distributive property to multiply 0.8 by 0.3-x.

$$0.4-\frac{8}{5}x=0.24-0.8x$$

Add 0.8x to both sides.

$$0.4-\frac{8}{5}x+0.8x=0.24$$

Combine -\frac{8}{5}x and 0.8x to get -\frac{4}{5}x.

$$0.4-\frac{4}{5}x=0.24$$

Subtract 0.4 from both sides.

$$-\frac{4}{5}x=0.24-0.4$$

Subtract 0.4 from 0.24 to get -0.16.

$$-\frac{4}{5}x=-0.16$$

Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.

$$x=-0.16\left(-\frac{5}{4}\right)$$

Convert decimal number -0.16 to fraction -\frac{16}{100}. Reduce the fraction -\frac{16}{100} to lowest terms by extracting and canceling out 4.

$$x=-\frac{4}{25}\left(-\frac{5}{4}\right)$$

Multiply -\frac{4}{25} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-4\left(-5\right)}{25\times 4}$$

Do the multiplications in the fraction \frac{-4\left(-5\right)}{25\times 4}.

$$x=\frac{20}{100}$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$x=\frac{1}{5}$$