Solve 22/1-(x+13/4)=49/3

$$\frac{ 22 }{ 1 } -(x+ 1 \frac { 3 } { 4 } )= 4 \frac { 9 } { 3 }$$

Solve for x

$$x = \frac{53}{4} = 13\frac{1}{4} = 13.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$12\times 22-12\left(x+\frac{4+3}{4}\right)=4\left(4\times 3+9\right)$$

Multiply 12 and 22 to get 264.

$$264-12\left(x+\frac{4+3}{4}\right)=4\left(4\times 3+9\right)$$

Add 4 and 3 to get 7.

$$264-12\left(x+\frac{7}{4}\right)=4\left(4\times 3+9\right)$$

Use the distributive property to multiply -12 by x+\frac{7}{4}.

$$264-12x-12\times \frac{7}{4}=4\left(4\times 3+9\right)$$

Express -12\times \frac{7}{4} as a single fraction.

$$264-12x+\frac{-12\times 7}{4}=4\left(4\times 3+9\right)$$

Multiply -12 and 7 to get -84.

$$264-12x+\frac{-84}{4}=4\left(4\times 3+9\right)$$

Divide -84 by 4 to get -21.

$$264-12x-21=4\left(4\times 3+9\right)$$

Subtract 21 from 264 to get 243.

$$243-12x=4\left(4\times 3+9\right)$$

Multiply 4 and 3 to get 12.

$$243-12x=4\left(12+9\right)$$

Add 12 and 9 to get 21.

$$243-12x=4\times 21$$

Multiply 4 and 21 to get 84.

$$243-12x=84$$

Subtract 243 from both sides.

$$-12x=84-243$$

Subtract 243 from 84 to get -159.

$$-12x=-159$$

Divide both sides by -12.

$$x=\frac{-159}{-12}$$

Reduce the fraction \frac{-159}{-12} to lowest terms by extracting and canceling out -3.

$$x=\frac{53}{4}$$