Solve 3x-4/3+x-3/2=7/6

$$\frac { 3 x - 4 } { 3 } + \frac { x - 3 } { 2 } = \frac { 7 } { 6 }$$

Solve for x

$$x = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2,6.

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

Use the distributive property to multiply 2 by 3x-4.

$$6x-8+3\left(x-3\right)=7$$

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

$$6x-8+3x-9=7$$

Combine 6x and 3x to get 9x.

$$9x-8-9=7$$

Subtract 9 from -8 to get -17.

$$9x-17=7$$

Add 17 to both sides.

$$9x=7+17$$

Add 7 and 17 to get 24.

$$9x=24$$

Divide both sides by 9.

$$x=\frac{24}{9}$$

Reduce the fraction \frac{24}{9} to lowest terms by extracting and canceling out 3.

$$x=\frac{8}{3}$$