Solve 3x-6/8=2/3x-7

$$\frac { 3 x - 6 } { 8 } = \frac { 2 } { 3 } x - 7$$

Solve for x

$$x = \frac{150}{7} = 21\frac{3}{7} \approx 21.428571429$$

Steps for Solving Linear Equation

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

$$3\left(3x-6\right)=16x-168$$

Use the distributive property to multiply 3 by 3x-6.

$$9x-18=16x-168$$

Subtract 16x from both sides.

$$9x-18-16x=-168$$

Combine 9x and -16x to get -7x.

$$-7x-18=-168$$

Add 18 to both sides.

$$-7x=-168+18$$

Add -168 and 18 to get -150.

$$-7x=-150$$

Divide both sides by -7.

$$x=\frac{-150}{-7}$$

Fraction \frac{-150}{-7} can be simplified to \frac{150}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{150}{7}$$