Solve 15/6+2/5x=11/15div-2

$$1 \frac { 5 } { 6 } + \frac{ 2 }{ 5 } x= \frac{ 11 }{ 15 } \div -2$$

Solve for x

$$x = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5,-2.

$$5\left(1\times 6+5\right)+12x=-15\times \frac{11}{15}$$

Multiply 1 and 6 to get 6.

$$5\left(6+5\right)+12x=-15\times \frac{11}{15}$$

Add 6 and 5 to get 11.

$$5\times 11+12x=-15\times \frac{11}{15}$$

Multiply 5 and 11 to get 55.

$$55+12x=-15\times \frac{11}{15}$$

Multiply -15 times \frac{11}{15}.

$$55+12x=-11$$

Subtract 55 from both sides.

$$12x=-11-55$$

Subtract 55 from -11 to get -66.

$$12x=-66$$

Divide both sides by 12.

$$x=\frac{-66}{12}$$

Reduce the fraction \frac{-66}{12} to lowest terms by extracting and canceling out 6.

$$x=-\frac{11}{2}$$