Solve 0.6(x+300)=0.65x-205

$$0.6 ( x + 300 ) = 0.65 x - 205$$

Solve for x

$$x=7700$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.6 by x+300.

$$0.6x+180=0.65x-205$$

Subtract 0.65x from both sides.

$$0.6x+180-0.65x=-205$$

Combine 0.6x and -0.65x to get -0.05x.

$$-0.05x+180=-205$$

Subtract 180 from both sides.

$$-0.05x=-205-180$$

Subtract 180 from -205 to get -385.

$$-0.05x=-385$$

Divide both sides by -0.05.

$$x=\frac{-385}{-0.05}$$

Expand \frac{-385}{-0.05} by multiplying both numerator and the denominator by 100.

$$x=\frac{-38500}{-5}$$

Divide -38500 by -5 to get 7700.

$$x=7700$$