Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.
(2 · x) + (2 · 7) = 36
x + 7 = 18
2(x + 7) = 72
2x + 7 = 36
2x + 14 = 36
x + 14 = 36
Is each equation a correct first step to solving the equation 2(x + 7) = 36?
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To solve the equation 2(x + 7) = 36, we should first apply the distributive property or simplify the equation correctly.
1. (2 · x) + (2 · 7) = 36 – This is a correct first step. It uses the distributive property to expand the left side.
2. x + 7 = 18 – This is incorrect as a first step because it doesn’t directly follow from the given equation.
3. 2(x + 7) = 72 – This is incorrect; it changes the original equation incorrectly.
4. 2x + 7 = 36 – This is incorrect as it represents a misapplication of the distributive property.
5. 2x + 14 = 36 – This is a correct first step, as it represents applying the distributive property correctly.
6. x + 14 = 36 – This is incorrect as a first step, since it does not appropriately represent the equation.
So, the correct first steps are:
– (2 · x) + (2 · 7) = 36
– 2x + 14 = 36
This helps break down the problem correctly! If you need more assistance with this equation or others, feel free to check out our extended services page for further help.