Solve (5x+1/8)+2(x-1)/11-x-3/3=9

$$( \frac { 5 x + 1 } { 8 } ) + \frac { 2 ( x - 1 ) } { 11 } - \frac { x - 3 } { 3 } = 9$$

Solve for x

$$x = \frac{2127}{125} = 17\frac{2}{125} = 17.016$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 264, the least common multiple of 8,11,3.

$$33\left(5x+1\right)+24\times 2\left(x-1\right)-88\left(x-3\right)=2376$$

Use the distributive property to multiply 33 by 5x+1.

$$165x+33+24\times 2\left(x-1\right)-88\left(x-3\right)=2376$$

Multiply 24 and 2 to get 48.

$$165x+33+48\left(x-1\right)-88\left(x-3\right)=2376$$

Use the distributive property to multiply 48 by x-1.

$$165x+33+48x-48-88\left(x-3\right)=2376$$

Combine 165x and 48x to get 213x.

$$213x+33-48-88\left(x-3\right)=2376$$

Subtract 48 from 33 to get -15.

$$213x-15-88\left(x-3\right)=2376$$

Use the distributive property to multiply -88 by x-3.

$$213x-15-88x+264=2376$$

Combine 213x and -88x to get 125x.

$$125x-15+264=2376$$

Add -15 and 264 to get 249.

$$125x+249=2376$$

Subtract 249 from both sides.

$$125x=2376-249$$

Subtract 249 from 2376 to get 2127.

$$125x=2127$$

Divide both sides by 125.

$$x=\frac{2127}{125}$$