Solve 94/17-(x-38/17)=711/17

$$9 \frac { 4 } { 17 } - ( x - 3 \frac { 8 } { 17 } ) = 7 \frac { 11 } { 17 }$$

Solve for x

$$x = \frac{86}{17} = 5\frac{1}{17} \approx 5.058823529$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 17.

$$9\times 17+4-17\left(x-\frac{3\times 17+8}{17}\right)=7\times 17+11$$

Multiply 9 and 17 to get 153.

$$153+4-17\left(x-\frac{3\times 17+8}{17}\right)=7\times 17+11$$

Add 153 and 4 to get 157.

$$157-17\left(x-\frac{3\times 17+8}{17}\right)=7\times 17+11$$

Multiply 3 and 17 to get 51.

$$157-17\left(x-\frac{51+8}{17}\right)=7\times 17+11$$

Add 51 and 8 to get 59.

$$157-17\left(x-\frac{59}{17}\right)=7\times 17+11$$

Use the distributive property to multiply -17 by x-\frac{59}{17}.

$$157-17x-17\left(-\frac{59}{17}\right)=7\times 17+11$$

Multiply -17 times -\frac{59}{17}.

$$157-17x+59=7\times 17+11$$

Add 157 and 59 to get 216.

$$216-17x=7\times 17+11$$

Multiply 7 and 17 to get 119.

$$216-17x=119+11$$

Add 119 and 11 to get 130.

$$216-17x=130$$

Subtract 216 from both sides.

$$-17x=130-216$$

Subtract 216 from 130 to get -86.

$$-17x=-86$$

Divide both sides by -17.

$$x=\frac{-86}{-17}$$

Fraction \frac{-86}{-17} can be simplified to \frac{86}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{86}{17}$$