Solve 2/1,5=(2+x)/9

$$\frac { 2 } { 1,5 } = \frac { ( 2 + x ) } { 9 }$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$9\times \frac{2}{1,5}=2+x$$

Expand \frac{2}{1,5} by multiplying both numerator and the denominator by 10.

$$9\times \frac{20}{15}=2+x$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

$$9\times \frac{4}{3}=2+x$$

Express 9\times \frac{4}{3} as a single fraction.

$$\frac{9\times 4}{3}=2+x$$

Multiply 9 and 4 to get 36.

$$\frac{36}{3}=2+x$$

Divide 36 by 3 to get 12.

$$12=2+x$$

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

$$2+x=12$$

Subtract 2 from both sides.

$$x=12-2$$

Subtract 2 from 12 to get 10.

$$x=10$$