Solve 15/6-3/5x=13/5

$$1 \frac { 5 } { 6 } - \frac { 3 } { 5 } x = \frac { 13 } { 5 }$$

Solve for x

$$x = -\frac{23}{18} = -1\frac{5}{18} \approx -1.277777778$$

Steps for Solving Linear Equation

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

$$5\left(1\times 6+5\right)-18x=78$$

Multiply 1 and 6 to get 6.

$$5\left(6+5\right)-18x=78$$

Add 6 and 5 to get 11.

$$5\times 11-18x=78$$

Multiply 5 and 11 to get 55.

$$55-18x=78$$

Subtract 55 from both sides.

$$-18x=78-55$$

Subtract 55 from 78 to get 23.

$$-18x=23$$

Divide both sides by -18.

$$x=\frac{23}{-18}$$

Fraction \frac{23}{-18} can be rewritten as -\frac{23}{18} by extracting the negative sign.

$$x=-\frac{23}{18}$$