Solve 3/10(200+x)-1/5left(300-xright)=3009/25

$$\frac{ 3 }{ 10 } (200+x)- \frac{ 1 }{ 5 } \left( 300-x \right) = 300 \frac{ 9 }{ 25 }$$

Solve for x

$$x = \frac{15018}{25} = 600\frac{18}{25} = 600.72$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 50, the least common multiple of 10,5,25.

$$15\left(200+x\right)-10\left(300-x\right)=2\left(300\times 25+9\right)$$

Use the distributive property to multiply 15 by 200+x.

$$3000+15x-10\left(300-x\right)=2\left(300\times 25+9\right)$$

Use the distributive property to multiply -10 by 300-x.

$$3000+15x-3000+10x=2\left(300\times 25+9\right)$$

Subtract 3000 from 3000 to get 0.

$$15x+10x=2\left(300\times 25+9\right)$$

Combine 15x and 10x to get 25x.

$$25x=2\left(300\times 25+9\right)$$

Multiply 300 and 25 to get 7500.

$$25x=2\left(7500+9\right)$$

Add 7500 and 9 to get 7509.

$$25x=2\times 7509$$

Multiply 2 and 7509 to get 15018.

$$25x=15018$$

Divide both sides by 25.

$$x=\frac{15018}{25}$$