Solve -14/10=2/x

$$- 1 \frac { 4 } { 10 } = \frac { 2 } { x }$$

Solve for x

$$x = -\frac{10}{7} = -1\frac{3}{7} \approx -1.428571429$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of 10,x.

$$-x\left(1\times 10+4\right)=10\times 2$$

Multiply 1 and 10 to get 10.

$$-x\left(10+4\right)=10\times 2$$

Add 10 and 4 to get 14.

$$-x\times 14=10\times 2$$

Multiply 10 and 2 to get 20.

$$-x\times 14=20$$

Divide both sides by -1.

$$x\times 14=-20$$

Divide both sides by 14.

$$x=\frac{-20}{14}$$

Reduce the fraction \frac{-20}{14} to lowest terms by extracting and canceling out 2.

$$x=-\frac{10}{7}$$