Question

Determine whether the equation is always sometimes or never true 2(5x+4)=10x+6

Answer 1

Never true.

Explanation:

2(5x+4)=10x+6

10x + 8 = 10x + 6 (We can see here that both sides are NOT the same, but let's continue.)

10x + 8 - 6 = 10x +6 - 6

10x + 2 = 10x

10x -10x + 2 = 10x - 10x

2 ≠ 0

Both sides must be equal to 0 for the statement to be 'always' true.

Answer 2

This equation is NEVER true. Let's solve the equations algebraically by applying the Distributive Property of Multiplication and transposing the terms across the equality sign. The solution is as follows:

2(5x+4)=10x+6
10x + 8 = 10x + 6
10x - 10x = 6 - 8
0 = -2

Therefore, it is not true.