Solve 9,5+11/20+x=10

$$\frac { 9,5 + 11 } { 20 + x } = 10$$

Solve for x

$$x=-17,95$$

Steps for Solving Linear Equation

Variable x cannot be equal to -20 since division by zero is not defined. Multiply both sides of the equation by x+20.

$$9,5+11=10\left(x+20\right)$$

Add 9,5 and 11 to get 20,5.

$$20,5=10\left(x+20\right)$$

Use the distributive property to multiply 10 by x+20.

$$20,5=10x+200$$

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

$$10x+200=20,5$$

Subtract 200 from both sides.

$$10x=20,5-200$$

Subtract 200 from 20,5 to get -179,5.

$$10x=-179,5$$

Divide both sides by 10.

$$x=\frac{-179,5}{10}$$

Expand \frac{-179,5}{10} by multiplying both numerator and the denominator by 10.

$$x=\frac{-1795}{100}$$

Reduce the fraction \frac{-1795}{100} to lowest terms by extracting and canceling out 5.

$$x=-\frac{359}{20}$$