Solve 2x/5+2/2=5x/2-20/5frac{3}{5}

$$\frac{ 2x }{ 5 } + \frac{ 2 }{ 2 } = \frac{ 5x }{ 2 } - \frac{ 20 }{ 5 } \frac{ 3 }{ 5 }$$

Solve for x

$$x = \frac{34}{21} = 1\frac{13}{21} \approx 1.619047619$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 5,2.

$$2\times 2x+5\times 2=5\times 5x-40\times \frac{3}{5}$$

Multiply 2 and 2 to get 4.

$$4x+5\times 2=5\times 5x-40\times \frac{3}{5}$$

Multiply 5 and 2 to get 10.

$$4x+10=5\times 5x-40\times \frac{3}{5}$$

Multiply 5 and 5 to get 25.

$$4x+10=25x-40\times \frac{3}{5}$$

Express 40\times \frac{3}{5} as a single fraction.

$$4x+10=25x-\frac{40\times 3}{5}$$

Multiply 40 and 3 to get 120.

$$4x+10=25x-\frac{120}{5}$$

Divide 120 by 5 to get 24.

$$4x+10=25x-24$$

Subtract 25x from both sides.

$$4x+10-25x=-24$$

Combine 4x and -25x to get -21x.

$$-21x+10=-24$$

Subtract 10 from both sides.

$$-21x=-24-10$$

Subtract 10 from -24 to get -34.

$$-21x=-34$$

Divide both sides by -21.

$$x=\frac{-34}{-21}$$

Fraction \frac{-34}{-21} can be simplified to \frac{34}{21} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{34}{21}$$