Question

1. does x = 2 satisfy this equation? 2x + 10 = 12

Explanation:

Step1: Substitute x = 2 into left side

Substitute \( x = 2 \) into \( 2x + 10 \), we get \( 2\times2 + 10 \).

Step2: Calculate left side value

Calculate \( 2\times2 + 10 = 4 + 10 = 14 \)? Wait, no, wait: \( 2\times2 = 4 \), \( 4 + 10 = 14 \)? Wait, no, the equation is \( 2x + 10 = 12 \). Wait, no, let's recalculate. Wait, \( x = 2 \), so \( 2\times2 = 4 \), \( 4 + 10 = 14 \)? But the right side is 12. Wait, that can't be. Wait, maybe I made a mistake. Wait, no, the equation is \( 2x + 10 = 12 \). Let's solve for x: \( 2x = 12 - 10 = 2 \), so \( x = 1 \). But the question is does \( x = 2 \) satisfy? Wait, let's substitute again. \( x = 2 \), left side: \( 2\times2 + 10 = 4 + 10 = 14 \), right side is 12. 14 ≠ 12? Wait, no, wait, maybe the equation is written wrong? Wait, no, the user wrote \( 2x + 10 = 12 \). Wait, but let's check again. Wait, maybe I miscalculated. Wait, \( 2x + 10 = 12 \). If x = 2, then 2*2=4, 4+10=14. 14≠12. So the answer is no? Wait, but maybe I made a mistake. Wait, let's solve the equation: 2x = 12 - 10 = 2, so x = 1. So x=2 does not satisfy. Wait, but let's check again. Wait, maybe the equation is \( 2x + 10 = 14 \)? No, the user wrote 12. So according to the substitution, left side is 14, right side is 12, so they are not equal. So x=2 does not satisfy the equation.

Wait, but maybe I made a mistake in substitution. Let's do it again. x=2, so 2x is 2*2=4. Then 4 + 10 = 14. The right side is 12. 14 ≠ 12. So the answer is no.

Answer:

No, \( x = 2 \) does not satisfy the equation \( 2x + 10 = 12 \) because substituting \( x = 2 \) gives \( 2(2) + 10 = 14 \), which is not equal to 12.