Solve 3{[4(x-1)+2]-[2(2x-1)+2]}

$$3 \{ [ 4 ( x - 1 ) + 2 ] - [ 2 ( 2 x - 1 ) + 2 ] \}$$

Evaluate

$$-6$$

Solution Steps

Use the distributive property to multiply 4 by x-1.

$$3\left(4x-4+2-\left(2\left(2x-1\right)+2\right)\right)$$

Add -4 and 2 to get -2.

$$3\left(4x-2-\left(2\left(2x-1\right)+2\right)\right)$$

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

$$3\left(4x-2-\left(4x-2+2\right)\right)$$

Add -2 and 2 to get 0.

$$3\left(4x-2-4x\right)$$

Combine 4x and -4x to get 0.

$$3\left(-2\right)$$

Multiply 3 and -2 to get -6.

$$-6$$

Factor

$$-6$$