Solve (11/8x-21/3)*24=4

$$( 1 \frac { 1 } { 8 } x - 2 \frac { 1 } { 3 } ) \cdot 24 = 4$$

Solve for x

$$x = \frac{20}{9} = 2\frac{2}{9} \approx 2.222222222$$

Steps for Solving Linear Equation

Divide both sides by 24.

$$\frac{1\times 8+1}{8}x-\frac{2\times 3+1}{3}=\frac{4}{24}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1\times 8+1}{8}x-\frac{2\times 3+1}{3}=\frac{1}{6}$$

Multiply both sides of the equation by 24, the least common multiple of 8,3,6.

$$3\left(1\times 8+1\right)x-8\left(2\times 3+1\right)=4$$

Multiply 1 and 8 to get 8.

$$3\left(8+1\right)x-8\left(2\times 3+1\right)=4$$

Add 8 and 1 to get 9.

$$3\times 9x-8\left(2\times 3+1\right)=4$$

Multiply 3 and 9 to get 27.

$$27x-8\left(2\times 3+1\right)=4$$

Multiply 2 and 3 to get 6.

$$27x-8\left(6+1\right)=4$$

Add 6 and 1 to get 7.

$$27x-8\times 7=4$$

Multiply -8 and 7 to get -56.

$$27x-56=4$$

Add 56 to both sides.

$$27x=4+56$$

Add 4 and 56 to get 60.

$$27x=60$$

Divide both sides by 27.

$$x=\frac{60}{27}$$

Reduce the fraction \frac{60}{27} to lowest terms by extracting and canceling out 3.

$$x=\frac{20}{9}$$