Solve 13/5-x=2/3-21/3

$$1 \frac { 3 } { 5 } - x = \frac { 2 } { 3 } - 2 \frac { 1 } { 3 }$$

Solve for x

$$x = \frac{49}{15} = 3\frac{4}{15} \approx 3.266666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\left(1\times 5+3\right)-15x=10-5\left(2\times 3+1\right)$$

Multiply 1 and 5 to get 5.

$$3\left(5+3\right)-15x=10-5\left(2\times 3+1\right)$$

Add 5 and 3 to get 8.

$$3\times 8-15x=10-5\left(2\times 3+1\right)$$

Multiply 3 and 8 to get 24.

$$24-15x=10-5\left(2\times 3+1\right)$$

Multiply 2 and 3 to get 6.

$$24-15x=10-5\left(6+1\right)$$

Add 6 and 1 to get 7.

$$24-15x=10-5\times 7$$

Multiply -5 and 7 to get -35.

$$24-15x=10-35$$

Subtract 35 from 10 to get -25.

$$24-15x=-25$$

Subtract 24 from both sides.

$$-15x=-25-24$$

Subtract 24 from -25 to get -49.

$$-15x=-49$$

Divide both sides by -15.

$$x=\frac{-49}{-15}$$

Fraction \frac{-49}{-15} can be simplified to \frac{49}{15} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{49}{15}$$