Solving the Equation 1 + 4(2x + 1) = 5: Step-by-Step Guide

1+ 4 (2x + 1) = 5

To solve the equation 1 + 4(2x + 1) = 5, we need to follow the order of operations

To solve the equation 1 + 4(2x + 1) = 5, we need to follow the order of operations.

First, we can simplify within the parentheses:
2x + 1 = 5 – 1 (subtract 1 from both sides)
2x + 1 = 4 (simplify)

Next, we can multiply 4 by the expression inside the parentheses:
4(2x + 1) = 4 (simplify)

To solve for x, we must isolate the variable on one side of the equation.

To remove the 1 from the left side, we subtract 1 from both sides:
4(2x + 1) – 1 = 4 – 1
8x + 4 – 1 = 3
8x + 3 = 3 (simplify)

Now, let’s isolate the 8x term by subtracting 3 from both sides:
8x + 3 – 3 = 3 – 3
8x = 0 (simplify)

Finally, we divide both sides by 8 to solve for x:
(8x)/8 = 0/8
x = 0

Therefore, the solution to the equation is x = 0.

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