Solving the equation: Step-by-step guide to find x when given 1 + 4(2x + 1) = 5

1+ 4 (2x + 1) = 5

To solve this equation, we need to apply the order of operations, which states that we should perform operations inside parentheses first, followed by multiplication and division, and then addition and subtraction

To solve this equation, we need to apply the order of operations, which states that we should perform operations inside parentheses first, followed by multiplication and division, and then addition and subtraction.

Given the equation: 1 + 4(2x + 1) = 5

Let’s start by simplifying the expression inside the parentheses:
We have 2x + 1, so we can distribute the 4:
4 * 2x + 4 * 1

This gives us: 8x + 4

Now, substituting the simplified expression back into the equation, we have:
1 + 8x + 4 = 5

Next, combine like terms:
1 + 4 + 8x = 5

Simplifying further, we can combine 1 and 4:
5 + 8x = 5

Now, we want to isolate the variable, which in this case is x. To do that, we’ll subtract 5 from both sides of the equation:

5 + 8x – 5 = 5 – 5
8x = 0

Finally, to find the value of x, we divide both sides of the equation by 8:

(8x)/8 = 0/8
x = 0

So the solution to the equation 1 + 4(2x + 1) = 5 is x = 0.

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