What is 2x+4=14?

What is 2x+4=14?

The equation 2x + 4 = 14 can be solved as follows:

1. Subtract 4 from both sides to isolate the term with the variable: 2x + 4 – 4 = 14 – 4
2. Simplify: 2x = 10
3. Divide both sides by 2 to solve for x: 2x/2 = 10/2
4. The solution is: x = 5

Solving a Simple Linear Equation

Linear equations involve algebraic expressions with variables to an exponent of 1. They produce straight line graphs when plotted. Solving linear equations is foundational for more advanced algebra, so mastering simple problems like 2x+4=14 is key. Let’s examine the step-by-step process.

Isolate the Variable Term

Our first goal is to isolate the variable term 2x on one side of the equals sign. We do this by performing inverse operations:

2x+4=14 2x+4-4=14-4 2x=10

Now the term with x, our variable, stands alone on the left side.

Solve for the Variable

To determine the value of x, we divide both sides by the coefficient 2:

2x=10 (2x)/2=(10)/2 x=5

Therefore, the solution is x=5.

Check the Solution

It’s always smart to double check your solution. Let’s substitute x=5 back into the original equation to verify it checks out:

2(5)+4 = 14 10+4 = 14 14 = 14

The two sides are equal, so x=5 is confirmed as the solution.

Graphing the Solution

Plotting the point (5,14) on a graph would fall on the line representing y=2x+4. We’ve found the one and only x-value that makes this equation true.

Solving linear equations like 2x+4=14 is essential algebra preparation for more complex math later on. Isolating the variable, determining its value, and checking your work should become second nature. Practicing straightforward problems builds experience in using algebraic techniques properly and with confidence.