Solve 5-5/8x=31/2

$$5 - \frac { 5 } { 8 } x = 3 \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 8,2.

$$40-5x=4\left(3\times 2+1\right)$$

Multiply 3 and 2 to get 6.

$$40-5x=4\left(6+1\right)$$

Add 6 and 1 to get 7.

$$40-5x=4\times 7$$

Multiply 4 and 7 to get 28.

$$40-5x=28$$

Subtract 40 from both sides.

$$-5x=28-40$$

Subtract 40 from 28 to get -12.

$$-5x=-12$$

Divide both sides by -5.

$$x=\frac{-12}{-5}$$

Fraction \frac{-12}{-5} can be simplified to \frac{12}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{12}{5}$$