Solve 81/5=-61/5x+64/5

$$8 \frac { 1 } { 5 } = -6 \frac { 1 } { 5 } x+ 6 \frac { 4 } { 5 }$$

Solve for x

$$x=-\frac{7}{31}\approx -0.225806452$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$8\times 5+1=5\left(-\frac{6\times 5+1}{5}\right)x+6\times 5+4$$

Multiply 8 and 5 to get 40.

$$40+1=5\left(-\frac{6\times 5+1}{5}\right)x+6\times 5+4$$

Add 40 and 1 to get 41.

$$41=5\left(-\frac{6\times 5+1}{5}\right)x+6\times 5+4$$

Multiply 6 and 5 to get 30.

$$41=5\left(-\frac{30+1}{5}\right)x+6\times 5+4$$

Add 30 and 1 to get 31.

$$41=5\left(-\frac{31}{5}\right)x+6\times 5+4$$

Cancel out 5 and 5.

$$41=-31x+6\times 5+4$$

Multiply 6 and 5 to get 30.

$$41=-31x+30+4$$

Add 30 and 4 to get 34.

$$41=-31x+34$$

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

$$-31x+34=41$$

Subtract 34 from both sides.

$$-31x=41-34$$

Subtract 34 from 41 to get 7.

$$-31x=7$$

Divide both sides by -31.

$$x=\frac{7}{-31}$$

Fraction \frac{7}{-31} can be rewritten as -\frac{7}{31} by extracting the negative sign.

$$x=-\frac{7}{31}$$