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Solve the following equation. Then place the correct number in the box provided.3(2x - 4) = 4(x + 1)

Question

Solve the following equation. Then place the correct number in the box provided.

3(2x4)=4(x+1) 3(2x - 4) = 4(x + 1)

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Solution

To solve the equation 3(2x - 4) = 4(x + 1), we will follow these steps:

Step 1: Distribute the 3 on the left side and the 4 on the right side of the equation: 6x - 12 = 4x + 4

Step 2: Combine like terms on both sides of the equation: 6x - 4x = 4 + 12 2x = 16

Step 3: Divide both sides of the equation by 2 to isolate x: 2x/2 = 16/2 x = 8

Therefore, the correct number to place in the box is 8.

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