Solve W=200x+170(T0-x)+(62u-40-x)+150(x-10)

$$W = 200 x + 170 ( T 0 - x ) + ( 62 u - 40 - x ) + 150 ( x - 10 )$$

Solve for T_0

$$T_{0}=\frac{1540-62u+W-179x}{170}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 170 by T_{0}-x.

$$W=200x+170T_{0}-170x+62u-40-x+150\left(x-10\right)$$

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

$$W=30x+170T_{0}+62u-40-x+150\left(x-10\right)$$

Combine 30x and -x to get 29x.

$$W=29x+170T_{0}+62u-40+150\left(x-10\right)$$

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

$$W=29x+170T_{0}+62u-40+150x-1500$$

Combine 29x and 150x to get 179x.

$$W=179x+170T_{0}+62u-40-1500$$

Subtract 1500 from -40 to get -1540.

$$W=179x+170T_{0}+62u-1540$$

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

$$179x+170T_{0}+62u-1540=W$$

Subtract 179x from both sides.

$$170T_{0}+62u-1540=W-179x$$

Subtract 62u from both sides.

$$170T_{0}-1540=W-179x-62u$$

Add 1540 to both sides.

$$170T_{0}=W-179x-62u+1540$$

The equation is in standard form.

$$170T_{0}=1540-62u+W-179x$$

Divide both sides by 170.

$$\frac{170T_{0}}{170}=\frac{1540-62u+W-179x}{170}$$

Dividing by 170 undoes the multiplication by 170.

$$T_{0}=\frac{1540-62u+W-179x}{170}$$

Divide W-179x-62u+1540 by 170.

$$T_{0}=\frac{W}{170}-\frac{31u}{85}-\frac{179x}{170}+\frac{154}{17}$$

Solve for W

$$W=179x+62u+170T_{0}-1540$$

Solution Steps

Use the distributive property to multiply 170 by T_{0}-x.

$$W=200x+170T_{0}-170x+62u-40-x+150\left(x-10\right)$$

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

$$W=30x+170T_{0}+62u-40-x+150\left(x-10\right)$$

Combine 30x and -x to get 29x.

$$W=29x+170T_{0}+62u-40+150\left(x-10\right)$$

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

$$W=29x+170T_{0}+62u-40+150x-1500$$

Combine 29x and 150x to get 179x.

$$W=179x+170T_{0}+62u-40-1500$$

Subtract 1500 from -40 to get -1540.

$$W=179x+170T_{0}+62u-1540$$