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To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Distribute the number 5 across the expression inside the parentheses:
becomes .
Step 2: Combine the like terms:
Combine and to get .
Thus, the equation becomes .
Step 3: Solve for :
Subtract 20 from both sides: .
Finally, divide both sides by 8: .
Simplify the fraction: .
Therefore, the solution to the equation is .
\( 5x=1 \)
What is the value of x?
You must distribute first because you can't combine terms that are separated by parentheses! Think of 5(x + 4) as a single unit that needs to be broken down before you can work with individual terms.
Like terms have the same variable with the same power. In this problem, 3x and 5x are like terms because they both have just 'x'. The number 20 stands alone as a constant.
Negative answers are completely normal in algebra! Don't second-guess yourself. Just make sure you check your work by substituting back into the original equation.
While there might be other approaches, distributing is the most reliable method for this type of problem. It breaks down the equation into simpler parts that are easier to work with.
Both are correct! because . You can express your answer as either a fraction or a decimal - just be consistent with what your teacher prefers.
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