Solve 30/50*x+10/50*2+10/50*4=0

$$\frac{ 30 }{ 50 } \times x+ \frac{ 10 }{ 50 } \times 2+ \frac{ 10 }{ 50 } \times 4=0$$

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

Reduce the fraction \frac{30}{50} to lowest terms by extracting and canceling out 10.

$$\frac{3}{5}x+\frac{10}{50}\times 2+\frac{10}{50}\times 4=0$$

Reduce the fraction \frac{10}{50} to lowest terms by extracting and canceling out 10.

$$\frac{3}{5}x+\frac{1}{5}\times 2+\frac{10}{50}\times 4=0$$

Multiply \frac{1}{5} and 2 to get \frac{2}{5}.

$$\frac{3}{5}x+\frac{2}{5}+\frac{10}{50}\times 4=0$$

Reduce the fraction \frac{10}{50} to lowest terms by extracting and canceling out 10.

$$\frac{3}{5}x+\frac{2}{5}+\frac{1}{5}\times 4=0$$

Multiply \frac{1}{5} and 4 to get \frac{4}{5}.

$$\frac{3}{5}x+\frac{2}{5}+\frac{4}{5}=0$$

Since \frac{2}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{3}{5}x+\frac{2+4}{5}=0$$

Add 2 and 4 to get 6.

$$\frac{3}{5}x+\frac{6}{5}=0$$

Subtract \frac{6}{5} from both sides. Anything subtracted from zero gives its negation.

$$\frac{3}{5}x=-\frac{6}{5}$$

Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.

$$x=-\frac{6}{5}\times \frac{5}{3}$$

Multiply -\frac{6}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-6\times 5}{5\times 3}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$x=-2$$