Solve 2left(400-600xright)-65*2=2-200x-15

$$2 \left( 400-600x \right) -65 \cdot 2 = 2-200x-15$$

Solve for x

$$x=\frac{683}{1000}=0.683$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 400-600x.

$$800-1200x-65\times 2=2-200x-15$$

Multiply 65 and 2 to get 130.

$$800-1200x-130=2-200x-15$$

Subtract 130 from 800 to get 670.

$$670-1200x=2-200x-15$$

Subtract 15 from 2 to get -13.

$$670-1200x=-13-200x$$

Add 200x to both sides.

$$670-1200x+200x=-13$$

Combine -1200x and 200x to get -1000x.

$$670-1000x=-13$$

Subtract 670 from both sides.

$$-1000x=-13-670$$

Subtract 670 from -13 to get -683.

$$-1000x=-683$$

Divide both sides by -1000.

$$x=\frac{-683}{-1000}$$

Fraction \frac{-683}{-1000} can be simplified to \frac{683}{1000} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{683}{1000}$$