Solve 31/6=-5x+11/6

$$3 \frac { 1 } { 6 } = - 5 x + 1 \frac { 1 } { 6 }$$

Solve for x

$$x=-\frac{2}{5}=-0.4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$3\times 6+1=-30x+1\times 6+1$$

Multiply 3 and 6 to get 18.

$$18+1=-30x+1\times 6+1$$

Add 18 and 1 to get 19.

$$19=-30x+1\times 6+1$$

Multiply 1 and 6 to get 6.

$$19=-30x+6+1$$

Add 6 and 1 to get 7.

$$19=-30x+7$$

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

$$-30x+7=19$$

Subtract 7 from both sides.

$$-30x=19-7$$

Subtract 7 from 19 to get 12.

$$-30x=12$$

Divide both sides by -30.

$$x=\frac{12}{-30}$$

Reduce the fraction \frac{12}{-30} to lowest terms by extracting and canceling out 6.

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