Solve 5(1/2x-5)=2

$$5 ( \frac { 1 } { 2 } x - 5 ) = 2$$

Solve for x

$$x = \frac{54}{5} = 10\frac{4}{5} = 10.8$$

Steps for Solving Linear Equation

Divide both sides by 5.

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

Add 5 to both sides.

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

Convert 5 to fraction \frac{25}{5}.

$$\frac{1}{2}x=\frac{2}{5}+\frac{25}{5}$$

Since \frac{2}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}x=\frac{2+25}{5}$$

Add 2 and 25 to get 27.

$$\frac{1}{2}x=\frac{27}{5}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=\frac{27}{5}\times 2$$

Express \frac{27}{5}\times 2 as a single fraction.

$$x=\frac{27\times 2}{5}$$

Multiply 27 and 2 to get 54.

$$x=\frac{54}{5}$$