Simplifying an expression
Distributive property
Using the distributive property we have that multiplying by some terms grouped in parenthesis is the same as multiplying each term.
On one hand:
2(x+3) = 2 · x + 2 · 3
= 2x + 6
On the other:
(x+4) = x + 4
Then
2(x+3) + (x+4) = 2x + 6 + x + 4
Combining like terms
We combine like terms in the expression
2x + 6 + x + 4
terms with x: 2x and x
numbers: 6 and 4
adding them we have that:
terms with x: 2x + x = 3x
numbers: 6 + 4 = 10
Then
2x + 6 + x + 4
= 3x + 10
Answer: 2(x+3) + (x+4) = 3x + 10