Solve 3x+3x/10/4x+7000=11/15

$$\frac { 3 x + \frac { 3 x } { 10 } } { 4 x + 7000 } = \frac { 11 } { 15 }$$

Solve for x

$$x=14000$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1750 since division by zero is not defined. Multiply both sides of the equation by 60\left(x+1750\right), the least common multiple of 4x+7000,15.

$$15\left(3x+\frac{3x}{10}\right)=44\left(x+1750\right)$$

Use the distributive property to multiply 15 by 3x+\frac{3x}{10}.

$$45x+15\times \frac{3x}{10}=44\left(x+1750\right)$$

Express 15\times \frac{3x}{10} as a single fraction.

$$45x+\frac{15\times 3x}{10}=44\left(x+1750\right)$$

Multiply 15 and 3 to get 45.

$$45x+\frac{45x}{10}=44\left(x+1750\right)$$

Divide 45x by 10 to get \frac{9}{2}x.

$$45x+\frac{9}{2}x=44\left(x+1750\right)$$

Combine 45x and \frac{9}{2}x to get \frac{99}{2}x.

$$\frac{99}{2}x=44\left(x+1750\right)$$

Use the distributive property to multiply 44 by x+1750.

$$\frac{99}{2}x=44x+77000$$

Subtract 44x from both sides.

$$\frac{99}{2}x-44x=77000$$

Combine \frac{99}{2}x and -44x to get \frac{11}{2}x.

$$\frac{11}{2}x=77000$$

Multiply both sides by \frac{2}{11}, the reciprocal of \frac{11}{2}.

$$x=77000\times \frac{2}{11}$$

Multiply 77000 and \frac{2}{11} to get 14000.

$$x=14000$$