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

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

Solve for x

$$x = \frac{23}{2} = 11\frac{1}{2} = 11.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 6,5,15.

$$5\left(1\times 6+5\right)+12x=22x-60$$

Multiply 1 and 6 to get 6.

$$5\left(6+5\right)+12x=22x-60$$

Add 6 and 5 to get 11.

$$5\times 11+12x=22x-60$$

Multiply 5 and 11 to get 55.

$$55+12x=22x-60$$

Subtract 22x from both sides.

$$55+12x-22x=-60$$

Combine 12x and -22x to get -10x.

$$55-10x=-60$$

Subtract 55 from both sides.

$$-10x=-60-55$$

Subtract 55 from -60 to get -115.

$$-10x=-115$$

Divide both sides by -10.

$$x=\frac{-115}{-10}$$

Reduce the fraction \frac{-115}{-10} to lowest terms by extracting and canceling out -5.

$$x=\frac{23}{2}$$