Solve 2left(400-600xright)-6.5*2=2-200x-15

$$2 \left( 400-600x \right) -6.5 \cdot 2 = 2-200x-15$$

Solve for x

$$x=0.8$$

Steps for Solving Linear Equation

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

$$800-1200x-6.5\times 2=2-200x-15$$

Multiply 6.5 and 2 to get 13.

$$800-1200x-13=2-200x-15$$

Subtract 13 from 800 to get 787.

$$787-1200x=2-200x-15$$

Subtract 15 from 2 to get -13.

$$787-1200x=-13-200x$$

Add 200x to both sides.

$$787-1200x+200x=-13$$

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

$$787-1000x=-13$$

Subtract 787 from both sides.

$$-1000x=-13-787$$

Subtract 787 from -13 to get -800.

$$-1000x=-800$$

Divide both sides by -1000.

$$x=\frac{-800}{-1000}$$

Reduce the fraction \frac{-800}{-1000} to lowest terms by extracting and canceling out -200.

$$x=\frac{4}{5}$$