Solve 7(x+3)+2x(x-5)-2(x-1)-2x^2

$$7 ( x + 3 ) + 2 x ( x - 5 ) - 2 ( x - 1 ) - 2 x ^ { 2 }$$

Evaluate

$$23-5x$$

Solution Steps

Use the distributive property to multiply 7 by x+3.

$$7x+21+2x\left(x-5\right)-2\left(x-1\right)-2x^{2}$$

Use the distributive property to multiply 2x by x-5.

$$7x+21+2x^{2}-10x-2\left(x-1\right)-2x^{2}$$

Combine 7x and -10x to get -3x.

$$-3x+21+2x^{2}-2\left(x-1\right)-2x^{2}$$

Use the distributive property to multiply -2 by x-1.

$$-3x+21+2x^{2}-2x+2-2x^{2}$$

Combine -3x and -2x to get -5x.

$$-5x+21+2x^{2}+2-2x^{2}$$

Add 21 and 2 to get 23.

$$-5x+23+2x^{2}-2x^{2}$$

Combine 2x^{2} and -2x^{2} to get 0.

$$-5x+23$$

Expand

$$23-5x$$

Solution Steps

Use the distributive property to multiply 7 by x+3.

$$7x+21+2x\left(x-5\right)-2\left(x-1\right)-2x^{2}$$

Use the distributive property to multiply 2x by x-5.

$$7x+21+2x^{2}-10x-2\left(x-1\right)-2x^{2}$$

Combine 7x and -10x to get -3x.

$$-3x+21+2x^{2}-2\left(x-1\right)-2x^{2}$$

Use the distributive property to multiply -2 by x-1.

$$-3x+21+2x^{2}-2x+2-2x^{2}$$

Combine -3x and -2x to get -5x.

$$-5x+21+2x^{2}+2-2x^{2}$$

Add 21 and 2 to get 23.

$$-5x+23+2x^{2}-2x^{2}$$

Combine 2x^{2} and -2x^{2} to get 0.

$$-5x+23$$