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

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

Solve for x

$$x = \frac{13}{7} = 1\frac{6}{7} \approx 1.857142857$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9, the least common multiple of 3,9.

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

Use the distributive property to multiply 3 by 2x-7.

$$6x-21-\left(x+5\right)=-9x$$

To find the opposite of x+5, find the opposite of each term.

$$6x-21-x-5=-9x$$

Combine 6x and -x to get 5x.

$$5x-21-5=-9x$$

Subtract 5 from -21 to get -26.

$$5x-26=-9x$$

Add 9x to both sides.

$$5x-26+9x=0$$

Combine 5x and 9x to get 14x.

$$14x-26=0$$

Add 26 to both sides. Anything plus zero gives itself.

$$14x=26$$

Divide both sides by 14.

$$x=\frac{26}{14}$$

Reduce the fraction \frac{26}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{13}{7}$$