Solve 2+6/x=7/5

$$2 + \frac { 6 } { x } = \frac { 7 } { 5 }$$

Solve for x

$$x=-10$$

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 5x, the least common multiple of x,5.

$$5x\times 2+5\times 6=7x$$

Multiply 5 and 2 to get 10.

$$10x+5\times 6=7x$$

Multiply 5 and 6 to get 30.

$$10x+30=7x$$

Subtract 7x from both sides.

$$10x+30-7x=0$$

Combine 10x and -7x to get 3x.

$$3x+30=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$3x=-30$$

Divide both sides by 3.

$$x=\frac{-30}{3}$$

Divide -30 by 3 to get -10.

$$x=-10$$