Solving 4x+6=-10: Confused by -10?

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In summary, solving 4x+6=-10 means finding the value of x that makes the equation true. This is done by isolating the variable on one side and the constant on the other side. The negative sign in front of 10 indicates that 10 is a negative number and we are subtracting it from both sides to isolate x. To solve an equation with a variable on both sides, we use basic operations to simplify the equation until we are left with the variable on one side and a number on the other side. The first step in solving 4x+6=-10 is to subtract 6 from both sides. To check if the solution is correct, we can substitute the value of x back into the original equation
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izzy1014
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Hey, so here is my equation:

4x+6=-10

I'm not sure how to figure this one out, I'm confused by the -10 part.
 
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  • #2
izzy1014 said:
Hey, so here is my equation:

4x+6=-10

I'm not sure how to figure this one out, I'm confused by the -10 part.

Doesn't $4x+6=-10$ imply that $4x=-10-6=-16$ ?
 

FAQ: Solving 4x+6=-10: Confused by -10?

What does solving 4x+6=-10 mean?

Solving 4x+6=-10 means finding the value of x that makes the equation true. In other words, we are trying to find the solution to the equation.

Why is there a negative sign in front of 10?

The negative sign in front of 10 indicates that 10 is a negative number. In this equation, we are subtracting 10 from both sides to isolate the variable x.

How do I solve an equation with a variable on both sides?

In order to solve an equation with a variable on both sides, we need to get all the variable terms on one side and all the constant terms on the other side. We can do this by using addition, subtraction, multiplication, and division to simplify the equation until we are left with the variable on one side and a number on the other side.

What is the first step in solving 4x+6=-10?

The first step is to subtract 6 from both sides to get rid of the constant term on the variable side. This will leave us with 4x=-16.

How do I know if my solution is correct?

To check if your solution is correct, substitute the value of x back into the original equation. If the equation is balanced and both sides are equal, then your solution is correct. You can also graph the equation to see if the solution lies on the line.

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