Solve 132/9-(x+25/9)=75/9

$$13 \frac{ 2 }{ 9 } -(x+2 \frac{ 5 }{ 9 } )=7 \frac{ 5 }{ 9 }$$

Solve for x

$$x = \frac{28}{9} = 3\frac{1}{9} \approx 3.111111111$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$13\times 9+2-9\left(x+\frac{2\times 9+5}{9}\right)=7\times 9+5$$

Multiply 13 and 9 to get 117.

$$117+2-9\left(x+\frac{2\times 9+5}{9}\right)=7\times 9+5$$

Add 117 and 2 to get 119.

$$119-9\left(x+\frac{2\times 9+5}{9}\right)=7\times 9+5$$

Multiply 2 and 9 to get 18.

$$119-9\left(x+\frac{18+5}{9}\right)=7\times 9+5$$

Add 18 and 5 to get 23.

$$119-9\left(x+\frac{23}{9}\right)=7\times 9+5$$

Use the distributive property to multiply -9 by x+\frac{23}{9}.

$$119-9x-9\times \frac{23}{9}=7\times 9+5$$

Multiply -9 times \frac{23}{9}.

$$119-9x-23=7\times 9+5$$

Subtract 23 from 119 to get 96.

$$96-9x=7\times 9+5$$

Multiply 7 and 9 to get 63.

$$96-9x=63+5$$

Add 63 and 5 to get 68.

$$96-9x=68$$

Subtract 96 from both sides.

$$-9x=68-96$$

Subtract 96 from 68 to get -28.

$$-9x=-28$$

Divide both sides by -9.

$$x=\frac{-28}{-9}$$

Fraction \frac{-28}{-9} can be simplified to \frac{28}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{28}{9}$$