Solve x/0.350.001=10+x/0.350.351*0.01

$$\frac{ x }{ 0.35 } 0.001 = 10+ \frac{ x }{ 0.35 } 0.351 \cdot 0.01$$

Solve for x

$$x = -\frac{350000}{251} = -1394\frac{106}{251} \approx -1394.422310757$$

Steps for Solving Linear Equation

Multiply 0.351 and 0.01 to get 0.00351.

$$\frac{x}{0.35}\times 0.001=10+\frac{x}{0.35}\times 0.00351$$

Subtract \frac{x}{0.35}\times 0.00351 from both sides.

$$\frac{x}{0.35}\times 0.001-\frac{x}{0.35}\times 0.00351=10$$

Combine \frac{x}{0.35}\times 0.001 and -\frac{x}{0.35}\times 0.00351 to get -0.00251\times \frac{x}{0.35}.

$$-0.00251\times \frac{x}{0.35}=10$$

Divide both sides by -0.00251.

$$\frac{x}{0.35}=\frac{10}{-0.00251}$$

Expand \frac{10}{-0.00251} by multiplying both numerator and the denominator by 100000.

$$\frac{x}{0.35}=\frac{1000000}{-251}$$

Fraction \frac{1000000}{-251} can be rewritten as -\frac{1000000}{251} by extracting the negative sign.

$$\frac{x}{0.35}=-\frac{1000000}{251}$$

Multiply both sides by 0.35.

$$x=-\frac{1000000}{251}\times 0.35$$

Convert decimal number 0.35 to fraction \frac{35}{100}. Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$x=-\frac{1000000}{251}\times \frac{7}{20}$$

Multiply -\frac{1000000}{251} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-1000000\times 7}{251\times 20}$$

Do the multiplications in the fraction \frac{-1000000\times 7}{251\times 20}.

$$x=\frac{-7000000}{5020}$$

Reduce the fraction \frac{-7000000}{5020} to lowest terms by extracting and canceling out 20.

$$x=-\frac{350000}{251}$$