Solve W=200x+170(70-x)+(69640-x)+150(x-10)

$$W = 200 x + 170 ( 70 - x ) + ( 69640 - x ) + 150 ( x - 10 )$$

Solve for W

$$W=179x+80040$$

Solution Steps

Use the distributive property to multiply 170 by 70-x.

$$W=200x+11900-170x+69640-x+150\left(x-10\right)$$

Combine 200x and -170x to get 30x.

$$W=30x+11900+69640-x+150\left(x-10\right)$$

Add 11900 and 69640 to get 81540.

$$W=30x+81540-x+150\left(x-10\right)$$

Combine 30x and -x to get 29x.

$$W=29x+81540+150\left(x-10\right)$$

Use the distributive property to multiply 150 by x-10.

$$W=29x+81540+150x-1500$$

Combine 29x and 150x to get 179x.

$$W=179x+81540-1500$$

Subtract 1500 from 81540 to get 80040.

$$W=179x+80040$$

Solve for x

$$x=\frac{W-80040}{179}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 170 by 70-x.

$$W=200x+11900-170x+69640-x+150\left(x-10\right)$$

Combine 200x and -170x to get 30x.

$$W=30x+11900+69640-x+150\left(x-10\right)$$

Add 11900 and 69640 to get 81540.

$$W=30x+81540-x+150\left(x-10\right)$$

Combine 30x and -x to get 29x.

$$W=29x+81540+150\left(x-10\right)$$

Use the distributive property to multiply 150 by x-10.

$$W=29x+81540+150x-1500$$

Combine 29x and 150x to get 179x.

$$W=179x+81540-1500$$

Subtract 1500 from 81540 to get 80040.

$$W=179x+80040$$

Swap sides so that all variable terms are on the left hand side.

$$179x+80040=W$$

Subtract 80040 from both sides.

$$179x=W-80040$$

Divide both sides by 179.

$$\frac{179x}{179}=\frac{W-80040}{179}$$

Dividing by 179 undoes the multiplication by 179.

$$x=\frac{W-80040}{179}$$