# Distributive Property and Combining Like Terms.

#### tony8894

HI everyone. I really need help with this question. When i use a math solver it doesnt show me the steps and I need this question answered it is just too hard for me so if anyone can help that would be great.

Simplify the Expression 3x + 4(3 + 5x) + 2(4x - 3). Identify the properties you used.

#### Wilmer

Simplify the Expression 3x + 4(3 + 5x) + 2(4x - 3). Identify the properties you used.
1st step: 3x + 12 + 20x + 8x - 6

MHF Helper

#### tony8894

(3x + 20x + 8x) - 6

But where do i put the 12?

#### skeeter

MHF Helper
(3x + 20x + 8x) - 6

But where do i put the 12?
add to the -6 ... constants are like terms

1 person

#### JeffM

(3x + 20x + 8x) - 6 This is wrong as your next question indicates.

But where do i put the 12?
It helps in simplifying to use equations. And when you are first practicing with a new idea, it greatly helps to do exactly one step at a time.

$3x + 4(3 + 5x) + 2(4x - 3) = 3x + (4 * 3) + (4 * 5x) + 2(4x - 3) =$ Distributive property.

$3x + 12 + 20x + 2(4x - 3) = 3x + 12 + 20x + (2 * 4x) + \{2 * (-\ 3)\} =$ Distributive property again.

$3x + 12 + 20x + 8x - 6 =$ You were fine up to here.

$3x + 20x + 12 + 20x + 8x - 6 =$ Commutative property of addition.

$3x + 20x + 8x + 12 - 6 =$ Commutative property of addition again.

Now what?

1 person