Question

Which expression is equivalent to 12x+(−7)−214x−(−2)?

−134x−5
134x−9
334x−9
334x−7

Answer 1

To simplify the given expression, we combine like terms and perform the necessary addition and subtraction.

Step-by-step explanation:

Equivalent Expression:

To simplify the given expression, we can combine like terms. When we add or subtract numbers with the same variable, we add or subtract their coefficients. Now, let's simplify the expression step by step:

1. Add the coefficients of the like terms 12x and -214x: 12x + (-214x) = -202x
2. Add the coefficients of the like terms -7 and -(-2): -7 - (-2) = -7 + 2 = -5
3. Combine the simplified terms: -202x - 5

Therefore, the expression 12x+(-7)-214x-(-2) is equivalent to -202x - 5.