Solve (100+181/3)x-(100-112/3)x=2100

$$(100+18 \frac{ 1 }{ 3 } )x-(100-11 \frac{ 2 }{ 3 } )x=2100$$

Solve for x

$$x=70$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3\left(100+\frac{18\times 3+1}{3}\right)x-3\left(100-\frac{11\times 3+2}{3}\right)x=6300$$

Multiply 18 and 3 to get 54.

$$3\left(100+\frac{54+1}{3}\right)x-3\left(100-\frac{11\times 3+2}{3}\right)x=6300$$

Add 54 and 1 to get 55.

$$3\left(100+\frac{55}{3}\right)x-3\left(100-\frac{11\times 3+2}{3}\right)x=6300$$

Convert 100 to fraction \frac{300}{3}.

$$3\left(\frac{300}{3}+\frac{55}{3}\right)x-3\left(100-\frac{11\times 3+2}{3}\right)x=6300$$

Since \frac{300}{3} and \frac{55}{3} have the same denominator, add them by adding their numerators.

$$3\times \frac{300+55}{3}x-3\left(100-\frac{11\times 3+2}{3}\right)x=6300$$

Add 300 and 55 to get 355.

$$3\times \frac{355}{3}x-3\left(100-\frac{11\times 3+2}{3}\right)x=6300$$

Cancel out 3 and 3.

$$355x-3\left(100-\frac{11\times 3+2}{3}\right)x=6300$$

Multiply 11 and 3 to get 33.

$$355x-3\left(100-\frac{33+2}{3}\right)x=6300$$

Add 33 and 2 to get 35.

$$355x-3\left(100-\frac{35}{3}\right)x=6300$$

Convert 100 to fraction \frac{300}{3}.

$$355x-3\left(\frac{300}{3}-\frac{35}{3}\right)x=6300$$

Since \frac{300}{3} and \frac{35}{3} have the same denominator, subtract them by subtracting their numerators.

$$355x-3\times \frac{300-35}{3}x=6300$$

Subtract 35 from 300 to get 265.

$$355x-3\times \frac{265}{3}x=6300$$

Cancel out 3 and 3.

$$355x-265x=6300$$

Combine 355x and -265x to get 90x.

$$90x=6300$$

Divide both sides by 90.

$$x=\frac{6300}{90}$$

Divide 6300 by 90 to get 70.

$$x=70$$