Solve 0x+4/0.2-x-3/0.5=-1.6

$$0 \frac { x + 4 } { 0.2 } - \frac { x - 3 } { 0.5 } = - 1.6$$

Solve for x

$$x=3.8$$

Steps for Solving Linear Equation

Anything times zero gives zero.

$$0-\frac{x-3}{0.5}=-1.6$$

Anything plus zero gives itself.

$$-\frac{x-3}{0.5}=-1.6$$

Divide each term of x-3 by 0.5 to get \frac{x}{0.5}+\frac{-3}{0.5}.

$$-\left(\frac{x}{0.5}+\frac{-3}{0.5}\right)=-1.6$$

Expand \frac{-3}{0.5} by multiplying both numerator and the denominator by 10.

$$-\left(\frac{x}{0.5}+\frac{-30}{5}\right)=-1.6$$

Divide -30 by 5 to get -6.

$$-\left(\frac{x}{0.5}-6\right)=-1.6$$

To find the opposite of \frac{x}{0.5}-6, find the opposite of each term.

$$-\frac{x}{0.5}-\left(-6\right)=-1.6$$

The opposite of -6 is 6.

$$-\frac{x}{0.5}+6=-1.6$$

Subtract 6 from both sides.

$$-\frac{x}{0.5}=-1.6-6$$

Subtract 6 from -1.6 to get -7.6.

$$-\frac{x}{0.5}=-7.6$$

Divide both sides by -1.

$$\frac{x}{0.5}=\frac{-7.6}{-1}$$

Expand \frac{-7.6}{-1} by multiplying both numerator and the denominator by 10.

$$\frac{x}{0.5}=\frac{-76}{-10}$$

Reduce the fraction \frac{-76}{-10} to lowest terms by extracting and canceling out -2.

$$\frac{x}{0.5}=\frac{38}{5}$$

Multiply both sides by 0.5.

$$x=\frac{38}{5}\times 0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{38}{5}\times \frac{1}{2}$$

Multiply \frac{38}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{38\times 1}{5\times 2}$$

Do the multiplications in the fraction \frac{38\times 1}{5\times 2}.

$$x=\frac{38}{10}$$

Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{19}{5}$$