Solve -2=1/32.8+x

$$-2= \frac{ 1 }{ 3 } 2.8+x$$

Solve for x

$$x = -\frac{44}{15} = -2\frac{14}{15} \approx -2.933333333$$

Steps for Solving Linear Equation

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$-2=\frac{1}{3}\times \frac{14}{5}+x$$

Multiply \frac{1}{3} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$-2=\frac{1\times 14}{3\times 5}+x$$

Do the multiplications in the fraction \frac{1\times 14}{3\times 5}.

$$-2=\frac{14}{15}+x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{14}{15}+x=-2$$

Subtract \frac{14}{15} from both sides.

$$x=-2-\frac{14}{15}$$

Convert -2 to fraction -\frac{30}{15}.

$$x=-\frac{30}{15}-\frac{14}{15}$$

Since -\frac{30}{15} and \frac{14}{15} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{-30-14}{15}$$

Subtract 14 from -30 to get -44.

$$x=-\frac{44}{15}$$