Solve 240-(-10)/x-(-10)=100-30/100-0

$$\frac{ 240-(-10) }{ x-(-10) } = \frac{ 100-30 }{ 100-0 }$$

Solve for x

$$x = \frac{2430}{7} = 347\frac{1}{7} \approx 347.142857143$$

Steps for Solving Linear Equation

Variable x cannot be equal to -10 since division by zero is not defined. Multiply both sides of the equation by x+10.

$$240-\left(-10\right)=\left(\frac{1}{100}x+\frac{1}{10}\right)\left(100-30\right)$$

The opposite of -10 is 10.

$$240+10=\left(\frac{1}{100}x+\frac{1}{10}\right)\left(100-30\right)$$

Add 240 and 10 to get 250.

$$250=\left(\frac{1}{100}x+\frac{1}{10}\right)\left(100-30\right)$$

Subtract 30 from 100 to get 70.

$$250=\left(\frac{1}{100}x+\frac{1}{10}\right)\times 70$$

Use the distributive property to multiply \frac{1}{100}x+\frac{1}{10} by 70.

$$250=\frac{7}{10}x+7$$

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

$$\frac{7}{10}x+7=250$$

Subtract 7 from both sides.

$$\frac{7}{10}x=250-7$$

Subtract 7 from 250 to get 243.

$$\frac{7}{10}x=243$$

Multiply both sides by \frac{10}{7}, the reciprocal of \frac{7}{10}.

$$x=243\times \frac{10}{7}$$

Multiply 243 and \frac{10}{7} to get \frac{2430}{7}.

$$x=\frac{2430}{7}$$