Solve [70x-(20-x)*35]*40+35*130*(20-x)

$$[ 70 x - ( 20 - x ) \times 35 ] \times 40 + 35 \times 130 \times ( 20 - x )$$

Evaluate

$$63000-350x$$

Solution Steps

Use the distributive property to multiply 20-x by 35.

$$\left(70x-\left(700-35x\right)\right)\times 40+35\times 130\left(20-x\right)$$

To find the opposite of 700-35x, find the opposite of each term.

$$\left(70x-700-\left(-35x\right)\right)\times 40+35\times 130\left(20-x\right)$$

The opposite of -35x is 35x.

$$\left(70x-700+35x\right)\times 40+35\times 130\left(20-x\right)$$

Combine 70x and 35x to get 105x.

$$\left(105x-700\right)\times 40+35\times 130\left(20-x\right)$$

Use the distributive property to multiply 105x-700 by 40.

$$4200x-28000+35\times 130\left(20-x\right)$$

Multiply 35 and 130 to get 4550.

$$4200x-28000+4550\left(20-x\right)$$

Use the distributive property to multiply 4550 by 20-x.

$$4200x-28000+91000-4550x$$

Add -28000 and 91000 to get 63000.

$$4200x+63000-4550x$$

Combine 4200x and -4550x to get -350x.

$$-350x+63000$$

Expand

$$63000-350x$$

Solution Steps

Use the distributive property to multiply 20-x by 35.

$$\left(70x-\left(700-35x\right)\right)\times 40+35\times 130\left(20-x\right)$$

To find the opposite of 700-35x, find the opposite of each term.

$$\left(70x-700-\left(-35x\right)\right)\times 40+35\times 130\left(20-x\right)$$

The opposite of -35x is 35x.

$$\left(70x-700+35x\right)\times 40+35\times 130\left(20-x\right)$$

Combine 70x and 35x to get 105x.

$$\left(105x-700\right)\times 40+35\times 130\left(20-x\right)$$

Use the distributive property to multiply 105x-700 by 40.

$$4200x-28000+35\times 130\left(20-x\right)$$

Multiply 35 and 130 to get 4550.

$$4200x-28000+4550\left(20-x\right)$$

Use the distributive property to multiply 4550 by 20-x.

$$4200x-28000+91000-4550x$$

Add -28000 and 91000 to get 63000.

$$4200x+63000-4550x$$

Combine 4200x and -4550x to get -350x.

$$-350x+63000$$