2(3x + 7) +5(9x - 3)
To simplify the expression 2(3x + 7) + 5(9x - 3), distribute the terms inside the parentheses.
First, distribute the 2 to both terms inside the first set of parentheses:
2(3x + 7) = 2 * 3x + 2 * 7
= 6x + 14
Next, distribute the 5 to both terms inside the second set of parentheses:
5(9x - 3) = 5 * 9x + 5 * -3
= 45x - 15
Now combine the simplified terms:
6x + 14 + 45x - 15
Combine like terms:
(6x + 45x) + (14 - 15)
= 51x - 1
14 -15
The expression 14 - 15 simplifies to -1.
To simplify the expression 2(3x + 7) + 5(9x - 3), we follow the distributive property.
Step 1: Distribute the 2 to both terms inside the parentheses:
2 * 3x + 2 * 7 = 6x + 14
Step 2: Distribute the 5 to both terms inside the parentheses:
5 * 9x - 5 * 3 = 45x - 15
Step 3: Combine the like terms:
(6x + 14) + (45x - 15) = 6x + 45x + 14 - 15 = 51x - 1
Therefore, 2(3x + 7) + 5(9x - 3) simplifies to 51x - 1.
To simplify the expression 2(3x + 7) + 5(9x - 3), we will use the distributive property to multiply each term inside the parentheses by the corresponding coefficient outside the parentheses.
First, let's apply the distributive property to the first parentheses:
2(3x + 7) = 2 * 3x + 2 * 7 = 6x + 14
Now, let's apply the distributive property to the second parentheses:
5(9x - 3) = 5 * 9x + 5 * (-3) = 45x - 15
Now, we can combine like terms by adding or subtracting terms with the same variables:
6x + 14 + 45x - 15
To group like terms, we can combine the x terms and the constant terms separately:
(6x + 45x) + (14 - 15)
This simplifies to:
51x - 1
Therefore, the simplified expression is 51x - 1.