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Fill in the blanks to solve the equation.

Fill in the blanks to solve the equation.-example-1
User Chackerian
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1 Answer

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The solution to the equation is x = -1, and filling in the blanks yields X = -1.

Let's solve the given equation step by step:

4(x + -1/4) + 3 = 5x -(-3)

First, distribute the 4 on the left side:

4x + (-1) + 3 = 5x + 3

Combine like terms:

4x + 2 = 5x + 3

Now, let's isolate the variable x. Subtract 4x from both sides:

2 = x + 3

Subtract 3 from both sides to solve for x:

-1 = x

Now, let's fill in the blanks in the original equation:

4x + ? + 3 = 5x - (-3)

Substitute the value of x into the equation:

4(-1) + ? + 3 = 5(-1) - (-3)

Simplify both sides:

-4 + ? + 3 = -5 + 3

Combine like terms:

-1 + ? = -2

Add 1 to both sides to solve for the blank:

? = -1

So, the completed equation is:

4x + (-1) + 3 = 5x - (-3)

4x - 1 + 3 = 5x + 3

User Hoang Ha
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