Solve 9-5/7-x=2/3

$$\frac { 9 - 5 } { 7 - x } = \frac { 2 } { 3 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 7 since division by zero is not defined. Multiply both sides of the equation by 3\left(x-7\right), the least common multiple of 7-x,3.

$$-3\left(9-5\right)=2\left(x-7\right)$$

Subtract 5 from 9 to get 4.

$$-3\times 4=2\left(x-7\right)$$

Multiply -3 and 4 to get -12.

$$-12=2\left(x-7\right)$$

Use the distributive property to multiply 2 by x-7.

$$-12=2x-14$$

Swap sides so that all variable terms are on the left hand side.

$$2x-14=-12$$

Add 14 to both sides.

$$2x=-12+14$$

Add -12 and 14 to get 2.

$$2x=2$$

Divide both sides by 2.

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

Divide 2 by 2 to get 1.

$$x=1$$