3(4x+6)+7x
3(4x+6)+7x
12x + 18 + 7x = 19x + 18
3(4x+6)+7x
Distribute the 3
12x + 18 + 7x
19x + 18
19x = -18
x = ?
To simplify the expression 3(4x+6) + 7x, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
Step 1: Simplify the expression within the parentheses (4x+6).
4x + 6
Step 2: Multiply the outer coefficient (3) by each term within the parentheses.
3 * 4x + 3 * 6
12x + 18
Step 3: Combine the simplified terms from both parts of the expression.
12x + 18 + 7x
Step 4: Combine the like terms (terms with the same variable and exponent).
12x + 7x + 18
Step 5: Add or subtract the coefficients of the like terms.
(12x + 7x) + 18
19x + 18
Therefore, the simplified form of 3(4x+6)+7x is 19x + 18.