Solve x/8=2x-9/3

$$\frac { x } { 8 } = \frac { 2 x - 9 } { 3 }$$

Solve for x

$$x = \frac{72}{13} = 5\frac{7}{13} \approx 5.538461538$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,3.

$$3x=8\left(2x-9\right)$$

Use the distributive property to multiply 8 by 2x-9.

$$3x=16x-72$$

Subtract 16x from both sides.

$$3x-16x=-72$$

Combine 3x and -16x to get -13x.

$$-13x=-72$$

Divide both sides by -13.

$$x=\frac{-72}{-13}$$

Fraction \frac{-72}{-13} can be simplified to \frac{72}{13} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{72}{13}$$