Question

Use properties of operations to simplify this algebraic expression.

5(x-4)+3x-9x+7

step 1: rewrite the subtraction operations as addition of negative numbers.

step 2: use the distributive property.

step 3: use the commutative property of addition to reorder terms so that like terms are together.

step 4: use the associative property of addition to group like terms.

step 5: simplify.​

Answer 1

x = -27

Explanation:

Apply the Distributive Property to 5(x - 4): 5x - 20.

Then we have 5x - 20 + 3x - 9x + 7.

Combining like terms, we get -x = 7 + 20 = 27, so that x = -27.