Solving the Equation 1 + 4(2x + 1) = 5 using the PEMDAS/BODMAS Method

1+ 4 (2x + 1) = 5

To solve the equation 1 + 4(2x + 1) = 5, you need to follow the order of operations (also known as PEMDAS/BODMAS), which states that you should perform operations within parentheses/brackets first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right

To solve the equation 1 + 4(2x + 1) = 5, you need to follow the order of operations (also known as PEMDAS/BODMAS), which states that you should perform operations within parentheses/brackets first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.

Let’s break down the steps to solve the equation:

1 + 4(2x + 1) = 5

First, we’ll start by simplifying the expression inside the parentheses:
2x + 1

Next, we’ll distribute the 4 to each term inside the parentheses:
4 * 2x + 4 * 1

This gives us:
8x + 4 + 1

Now, we can combine the constant terms:
8x + 5

Finally, we’ll combine like terms and solve for x:
1 + 8x + 5 = 5

To isolate the variable, we’ll move the constant term to the other side of the equation by subtracting 5 from both sides:

8x + 6 = 0

8x = -6

To solve for x, we’ll divide both sides of the equation by 8:

x = -6/8

Simplifying further:

x = -3/4

Therefore, the solution to the equation 1 + 4(2x + 1) = 5 is x = -3/4.

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