Solve 57/18-(x-25/18)=111/18

$$5 \frac { 7 } { 18 } - ( x - 2 \frac { 5 } { 18 } ) = 1 \frac { 11 } { 18 }$$

Solve for x

$$x = \frac{109}{18} = 6\frac{1}{18} \approx 6.055555556$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18.

$$5\times 18+7-18\left(x-\frac{2\times 18+5}{18}\right)=1\times 18+11$$

Multiply 5 and 18 to get 90.

$$90+7-18\left(x-\frac{2\times 18+5}{18}\right)=1\times 18+11$$

Add 90 and 7 to get 97.

$$97-18\left(x-\frac{2\times 18+5}{18}\right)=1\times 18+11$$

Multiply 2 and 18 to get 36.

$$97-18\left(x-\frac{36+5}{18}\right)=1\times 18+11$$

Add 36 and 5 to get 41.

$$97-18\left(x-\frac{41}{18}\right)=1\times 18+11$$

Use the distributive property to multiply -18 by x-\frac{41}{18}.

$$97-18x-18\left(-\frac{41}{18}\right)=1\times 18+11$$

Multiply -18 times -\frac{41}{18}.

$$97-18x+41=1\times 18+11$$

Add 97 and 41 to get 138.

$$138-18x=1\times 18+11$$

Multiply 1 and 18 to get 18.

$$138-18x=18+11$$

Add 18 and 11 to get 29.

$$138-18x=29$$

Subtract 138 from both sides.

$$-18x=29-138$$

Subtract 138 from 29 to get -109.

$$-18x=-109$$

Divide both sides by -18.

$$x=\frac{-109}{-18}$$

Fraction \frac{-109}{-18} can be simplified to \frac{109}{18} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{109}{18}$$