Mastering the Order of Operations | Solving the Equation 1 + 4(2x + 1) = 5

1+ 4 (2x + 1) = 5

To solve the equation 1 + 4(2x + 1) = 5, we need to follow the order of operations and simplify the expressions on both sides of the equation

To solve the equation 1 + 4(2x + 1) = 5, we need to follow the order of operations and simplify the expressions on both sides of the equation.

First, let’s simplify the expression on the left side:
2x + 1 is multiplied by 4, so we can distribute the 4 to each term within the parentheses: 4(2x) + 4(1) = 8x + 4.

Now the original equation becomes:
1 + 8x + 4 = 5.

Next, we combine like terms on the left side:
The 1 and 4 combine to give us 5, so the equation becomes:
5 + 8x = 5.

To isolate the variable x, we need to get rid of the 5 on the left side. We can do this by subtracting 5 from both sides of the equation:
5 – 5 + 8x = 5 – 5,
8x = 0.

Now we’re left with 8x = 0. To solve for x, we divide both sides of the equation by 8:
(8x)/8 = 0/8,
x = 0.

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

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