Solve 2x+7/3(x+20000)=220000

$$2x+ \frac{ 7 }{ 3 } (x+20000)=220000$$

Solve for x

$$x=40000$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{7}{3} by x+20000.

$$2x+\frac{7}{3}x+\frac{7}{3}\times 20000=220000$$

Express \frac{7}{3}\times 20000 as a single fraction.

$$2x+\frac{7}{3}x+\frac{7\times 20000}{3}=220000$$

Multiply 7 and 20000 to get 140000.

$$2x+\frac{7}{3}x+\frac{140000}{3}=220000$$

Combine 2x and \frac{7}{3}x to get \frac{13}{3}x.

$$\frac{13}{3}x+\frac{140000}{3}=220000$$

Subtract \frac{140000}{3} from both sides.

$$\frac{13}{3}x=220000-\frac{140000}{3}$$

Convert 220000 to fraction \frac{660000}{3}.

$$\frac{13}{3}x=\frac{660000}{3}-\frac{140000}{3}$$

Since \frac{660000}{3} and \frac{140000}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13}{3}x=\frac{660000-140000}{3}$$

Subtract 140000 from 660000 to get 520000.

$$\frac{13}{3}x=\frac{520000}{3}$$

Multiply both sides by \frac{3}{13}, the reciprocal of \frac{13}{3}.

$$x=\frac{520000}{3}\times \frac{3}{13}$$

Multiply \frac{520000}{3} times \frac{3}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{520000\times 3}{3\times 13}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{520000}{13}$$

Divide 520000 by 13 to get 40000.

$$x=40000$$