Solve 5*5/6-6-3-9*9=6x+6+0.3xdiv6

$$5 \times \frac{ 5 }{ 6 } -6-3-9 \times 9=6x+6+0.3x \div 6$$

Solve for x

$$x = -\frac{5510}{363} = -15\frac{65}{363} \approx -15.179063361$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$6\left(5\times \frac{5}{6}-6-3\right)-54\times 9=36x+36+0.3x$$

Express 5\times \frac{5}{6} as a single fraction.

$$6\left(\frac{5\times 5}{6}-6-3\right)-54\times 9=36x+36+0.3x$$

Multiply 5 and 5 to get 25.

$$6\left(\frac{25}{6}-6-3\right)-54\times 9=36x+36+0.3x$$

Convert 6 to fraction \frac{36}{6}.

$$6\left(\frac{25}{6}-\frac{36}{6}-3\right)-54\times 9=36x+36+0.3x$$

Since \frac{25}{6} and \frac{36}{6} have the same denominator, subtract them by subtracting their numerators.

$$6\left(\frac{25-36}{6}-3\right)-54\times 9=36x+36+0.3x$$

Subtract 36 from 25 to get -11.

$$6\left(-\frac{11}{6}-3\right)-54\times 9=36x+36+0.3x$$

Convert 3 to fraction \frac{18}{6}.

$$6\left(-\frac{11}{6}-\frac{18}{6}\right)-54\times 9=36x+36+0.3x$$

Since -\frac{11}{6} and \frac{18}{6} have the same denominator, subtract them by subtracting their numerators.

$$6\times \frac{-11-18}{6}-54\times 9=36x+36+0.3x$$

Subtract 18 from -11 to get -29.

$$6\left(-\frac{29}{6}\right)-54\times 9=36x+36+0.3x$$

Cancel out 6 and 6.

$$-29-54\times 9=36x+36+0.3x$$

Multiply 54 and 9 to get 486.

$$-29-486=36x+36+0.3x$$

Subtract 486 from -29 to get -515.

$$-515=36x+36+0.3x$$

Combine 36x and 0.3x to get 36.3x.

$$-515=36.3x+36$$

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

$$36.3x+36=-515$$

Subtract 36 from both sides.

$$36.3x=-515-36$$

Subtract 36 from -515 to get -551.

$$36.3x=-551$$

Divide both sides by 36.3.

$$x=\frac{-551}{36.3}$$

Expand \frac{-551}{36.3} by multiplying both numerator and the denominator by 10.

$$x=\frac{-5510}{363}$$

Fraction \frac{-5510}{363} can be rewritten as -\frac{5510}{363} by extracting the negative sign.

$$x=-\frac{5510}{363}$$