Solve (819/28-x)-113/28=411/28

$$( 8 \frac { 19 } { 28 } -x)- 1 \frac { 13 } { 28 } = 4 \frac { 11 } { 28 }$$

Solve for x

$$x = \frac{79}{28} = 2\frac{23}{28} \approx 2.821428571$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28.

$$8\times 28+19-28x-\left(1\times 28+13\right)=4\times 28+11$$

Multiply 8 and 28 to get 224.

$$224+19-28x-\left(1\times 28+13\right)=4\times 28+11$$

Add 224 and 19 to get 243.

$$243-28x-\left(1\times 28+13\right)=4\times 28+11$$

Multiply 1 and 28 to get 28.

$$243-28x-\left(28+13\right)=4\times 28+11$$

Add 28 and 13 to get 41.

$$243-28x-41=4\times 28+11$$

Subtract 41 from 243 to get 202.

$$202-28x=4\times 28+11$$

Multiply 4 and 28 to get 112.

$$202-28x=112+11$$

Add 112 and 11 to get 123.

$$202-28x=123$$

Subtract 202 from both sides.

$$-28x=123-202$$

Subtract 202 from 123 to get -79.

$$-28x=-79$$

Divide both sides by -28.

$$x=\frac{-79}{-28}$$

Fraction \frac{-79}{-28} can be simplified to \frac{79}{28} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{79}{28}$$