Solve 3/7x-21/6=51/3

$$\frac { 3 } { 7 } x - 2 \frac { 1 } { 6 } = 5 \frac { 1 } { 3 }$$

Solve for x

$$x = \frac{35}{2} = 17\frac{1}{2} = 17.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 7,6,3.

$$18x-7\left(2\times 6+1\right)=14\left(5\times 3+1\right)$$

Multiply 2 and 6 to get 12.

$$18x-7\left(12+1\right)=14\left(5\times 3+1\right)$$

Add 12 and 1 to get 13.

$$18x-7\times 13=14\left(5\times 3+1\right)$$

Multiply -7 and 13 to get -91.

$$18x-91=14\left(5\times 3+1\right)$$

Multiply 5 and 3 to get 15.

$$18x-91=14\left(15+1\right)$$

Add 15 and 1 to get 16.

$$18x-91=14\times 16$$

Multiply 14 and 16 to get 224.

$$18x-91=224$$

Add 91 to both sides.

$$18x=224+91$$

Add 224 and 91 to get 315.

$$18x=315$$

Divide both sides by 18.

$$x=\frac{315}{18}$$

Reduce the fraction \frac{315}{18} to lowest terms by extracting and canceling out 9.

$$x=\frac{35}{2}$$