How do you solve 2x+4=6 for x?

Question

In order to solve for this, we want to think: how can we get x by itself on one side of the equation?

In order to accomplish this, we can start by subtracting 4 on each side, which will get the 2x on its own, leaving room to get the 2 away from the x!

Answer 1

Hello! Hope this one could help!

When you are solving linear equations in a single variable just like this example, always do the inverse operation especially when you are combining like terms. Here is an elaborated step by step solution for you to understand:

Problem 1: 2x + 4 = 6

Step 1: You wanna isolate “x” since that is what we are looking for, so subtract 4 from both sides (also known as the elimination method).

2x = 6 - 4

2x = 2

Step 2: If you are solving for x, divide both sides by 2.

2x (/2) = 2 (/2)

x = 1

Therefore, x = 1 is our answer.

Hope this helps

Answer 2

2x +4 =6

First Step: Subtract 4 from both sides 2x+4(-4)=6 (-4) 2x=2

Second Step: Divide 2 from both sides 2x(/2)=2(/2) x=1

Final Answer x=1

Answer 3

Tip: When solving equations, always do the opposite (inverse operation) to cancel out terms. Think of it as peeling away layers until x stands alone.

Let's work on it together:

1. Start with the equation:

2x + 4 = 6

1. Subtract 4 from both sides to move the constant away from x:

2x + 4 – 4 = 6 – 4

2x = 2

1. Divide both sides by 2 to isolate x:

2x ÷ 2 = 2 ÷ 2

x = 1

Final Answer: x = 1

Answer 4

Always remember the “equal” sign… never break ‘equality’. So, whatever you do to 1 side of the “=“, you must do to the other, to preserve equality. In this way, you are not changing the value of anything… only the way things look.

2x + 4 = 6

2x + 4 - 4 = 6 - 4

2x = 2

2x / 2 = 2 / 2

x = 1