Solve 20x:(-4)+3x(2-7)-5-(3x+2)-3(7-10x)

$$20 x : ( - 4 ) + 3 x ( 2 - 7 ) - 5 - ( 3 x + 2 ) - 3 ( 7 - 10 x )$$

Evaluate

$$7\left(x-4\right)$$

Solution Steps

Divide 20x by -4 to get -5x.

$$-5x+3x\left(2-7\right)-5-\left(3x+2\right)-3\left(7-10x\right)$$

Subtract 7 from 2 to get -5.

$$-5x+3x\left(-5\right)-5-\left(3x+2\right)-3\left(7-10x\right)$$

Multiply 3 and -5 to get -15.

$$-5x-15x-5-\left(3x+2\right)-3\left(7-10x\right)$$

Combine -5x and -15x to get -20x.

$$-20x-5-\left(3x+2\right)-3\left(7-10x\right)$$

To find the opposite of 3x+2, find the opposite of each term.

$$-20x-5-3x-2-3\left(7-10x\right)$$

Combine -20x and -3x to get -23x.

$$-23x-5-2-3\left(7-10x\right)$$

Subtract 2 from -5 to get -7.

$$-23x-7-3\left(7-10x\right)$$

Use the distributive property to multiply -3 by 7-10x.

$$-23x-7-21+30x$$

Subtract 21 from -7 to get -28.

$$-23x-28+30x$$

Combine -23x and 30x to get 7x.

$$7x-28$$

Expand

$$7x-28$$

Solution Steps

Divide 20x by -4 to get -5x.

$$-5x+3x\left(2-7\right)-5-\left(3x+2\right)-3\left(7-10x\right)$$

Subtract 7 from 2 to get -5.

$$-5x+3x\left(-5\right)-5-\left(3x+2\right)-3\left(7-10x\right)$$

Multiply 3 and -5 to get -15.

$$-5x-15x-5-\left(3x+2\right)-3\left(7-10x\right)$$

Combine -5x and -15x to get -20x.

$$-20x-5-\left(3x+2\right)-3\left(7-10x\right)$$

To find the opposite of 3x+2, find the opposite of each term.

$$-20x-5-3x-2-3\left(7-10x\right)$$

Combine -20x and -3x to get -23x.

$$-23x-5-2-3\left(7-10x\right)$$

Subtract 2 from -5 to get -7.

$$-23x-7-3\left(7-10x\right)$$

Use the distributive property to multiply -3 by 7-10x.

$$-23x-7-21+30x$$

Subtract 21 from -7 to get -28.

$$-23x-28+30x$$

Combine -23x and 30x to get 7x.

$$7x-28$$