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Solve the equation using the algebraic method: X/4​+7=12

2 Answers

4 votes

Answer:

To solve the equation X/4 + 7 = 12, we'll follow the steps of the algebraic method.

Step 1: Subtract 7 from both sides of the equation.

X/4 = 12 - 7

X/4 = 5

Step 2: Multiply both sides of the equation by 4 to isolate X.

4 * (X/4) = 4 * 5

X = 20

Therefore, the solution to the equation X/4 + 7 = 12 is X = 20.

User AlbertK
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8.5k points
7 votes

Final answer:

To solve X/4 + 7 = 12, subtract 7 from both sides to get X/4 = 5, then multiply both sides by 4 to find X. The solution is X = 20. Always check your solution by substituting it back into the original equation.

Step-by-step explanation:

To solve the equation X/4 + 7 = 12, we will follow algebraic steps to isolate X. First, we subtract 7 from both sides to get X/4 = 5. Next, we multiply both sides by 4 to find the value of X. Multiplying 5 by 4 gives us X = 20. This is the solution to the equation. It's important to check the solution to ensure it is reasonable. Substituting X back into the original equation, we find that 20/4 + 7 does indeed equal 12, confirming that our solution is correct.

To solve the equation x/4 + 7 = 12, we'll follow these steps:

Subtract 7 from both sides to isolate the term with x on the left side: x/4 = 12 - 7

Combine like terms on the right side: x/4 = 5

Multiply both sides by 4 to eliminate the fraction: (4)(x/4) = 4(5)

Simplify: x = 20

Therefore, the solution to the equation is x = 20.

User Ndalama
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8.2k points