Solve x-1/2=x-13/9

$$\frac { x - 1 } { 2 } = \frac { x - 13 } { 9 }$$

Solve for x

$$x = -\frac{17}{7} = -2\frac{3}{7} \approx -2.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 2,9.

$$9\left(x-1\right)=2\left(x-13\right)$$

Use the distributive property to multiply 9 by x-1.

$$9x-9=2\left(x-13\right)$$

Use the distributive property to multiply 2 by x-13.

$$9x-9=2x-26$$

Subtract 2x from both sides.

$$9x-9-2x=-26$$

Combine 9x and -2x to get 7x.

$$7x-9=-26$$

Add 9 to both sides.

$$7x=-26+9$$

Add -26 and 9 to get -17.

$$7x=-17$$

Divide both sides by 7.

$$x=\frac{-17}{7}$$

Fraction \frac{-17}{7} can be rewritten as -\frac{17}{7} by extracting the negative sign.

$$x=-\frac{17}{7}$$