Solve 0.25=x-105/frac{20{sqrt{16}}}

$$0.25 = \frac { x - 105 } { \frac { 20 } { \sqrt { 16 } } }$$

Solve for x

$$x=106.25$$

Steps for Solving Linear Equation

Divide x-105 by \frac{20}{\sqrt{16}} by multiplying x-105 by the reciprocal of \frac{20}{\sqrt{16}}.

$$0.25=\frac{\left(x-105\right)\sqrt{16}}{20}$$

Calculate the square root of 16 and get 4.

$$0.25=\frac{\left(x-105\right)\times 4}{20}$$

Divide \left(x-105\right)\times 4 by 20 to get \left(x-105\right)\times \frac{1}{5}.

$$0.25=\left(x-105\right)\times \frac{1}{5}$$

Use the distributive property to multiply x-105 by \frac{1}{5}.

$$0.25=x\times \frac{1}{5}-105\times \frac{1}{5}$$

Multiply -105 and \frac{1}{5} to get \frac{-105}{5}.

$$0.25=x\times \frac{1}{5}+\frac{-105}{5}$$

Divide -105 by 5 to get -21.

$$0.25=x\times \frac{1}{5}-21$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{1}{5}-21=0.25$$

Add 21 to both sides.

$$x\times \frac{1}{5}=0.25+21$$

Add 0.25 and 21 to get 21.25.

$$x\times \frac{1}{5}=21.25$$

Multiply both sides by 5, the reciprocal of \frac{1}{5}.

$$x=21.25\times 5$$

Multiply 21.25 and 5 to get 106.25.

$$x=106.25$$