Solve 5-x/54=x

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

Solve for x

$$x = \frac{20}{9} = 2\frac{2}{9} \approx 2.222222222$$

Steps for Solving Linear Equation

Express \frac{5-x}{5}\times 4 as a single fraction.

$$\frac{\left(5-x\right)\times 4}{5}=x$$

Use the distributive property to multiply 5-x by 4.

$$\frac{20-4x}{5}=x$$

Divide each term of 20-4x by 5 to get 4-\frac{4}{5}x.

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

Subtract x from both sides.

$$4-\frac{4}{5}x-x=0$$

Combine -\frac{4}{5}x and -x to get -\frac{9}{5}x.

$$4-\frac{9}{5}x=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{9}{5}x=-4$$

Multiply both sides by -\frac{5}{9}, the reciprocal of -\frac{9}{5}.

$$x=-4\left(-\frac{5}{9}\right)$$

Express -4\left(-\frac{5}{9}\right) as a single fraction.

$$x=\frac{-4\left(-5\right)}{9}$$

Multiply -4 and -5 to get 20.

$$x=\frac{20}{9}$$