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Solve and explain with steps.

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Final answer:

The solution to the equation 4x + 2 = 2x + 12 is x = 5.

Step-by-step explanation:

To solve the equation 4x + 2 = 2x + 12, we can follow these steps:

1. Start by combining like terms on both sides of the equation. Subtract 2x from both sides to eliminate the 2x term on the right side of the equation.

4x + 2 - 2x = 2x + 12 - 2x

Simplifying the equation: 2x + 2 = 12

2. Next, isolate the variable term by subtracting 2 from both sides of the equation to eliminate the constant term on the left side.

2x + 2 - 2 = 12 - 2

Simplifying the equation: 2x = 10

3. Now, we can solve for x by dividing both sides of the equation by 2 to isolate the variable.

(2x) / 2 = 10 / 2

Simplifying the equation:

x = 5

Therefore, the solution to the equation 4x + 2 = 2x + 12 is x = 5.

Your question is incomplete, but most probably the full question was:

Solve and explain with steps.

4x+2=2x+12

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