Solve 2/5x-4=1/2

$$\frac { 2 } { 5 } x - 4 = \frac { 1 } { 2 }$$

Solve for x

$$x = \frac{45}{4} = 11\frac{1}{4} = 11.25$$

Steps for Solving Linear Equation

Add 4 to both sides.

$$\frac{2}{5}x=\frac{1}{2}+4$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{2}{5}x=\frac{1}{2}+\frac{8}{2}$$

Since \frac{1}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$\frac{2}{5}x=\frac{1+8}{2}$$

Add 1 and 8 to get 9.

$$\frac{2}{5}x=\frac{9}{2}$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=\frac{9}{2}\times \frac{5}{2}$$

Multiply \frac{9}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{9\times 5}{2\times 2}$$

Do the multiplications in the fraction \frac{9\times 5}{2\times 2}.

$$x=\frac{45}{4}$$