Question
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Answer
\( x = -2 \)
Solution
We start with the equation:
3x + 2 = 5x + 6
Step 1: Subtract 3x from both sides to get the x terms on one side.
3x + 2 - 3x = 5x + 6 - 3x
2 = 2x + 6
Step 2: Subtract 6 from both sides to isolate the term with x.
2 - 6 = 2x + 6 - 6
-4 = 2x
Step 3: Divide both sides by 2 to solve for x.
-4/2 = 2x/2
-2 = x
Thus, the solution is:
x = -2
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Simplify this solution Mind Expander
To solve the equation \( 3x + 2 = 5x + 6 \), start by isolating the variable \( x \). Subtract \( 3x \) from both sides to get \( 2 = 2x + 6 \). Next, subtract \( 6 \) from both sides, resulting in \( -4 = 2x \). Finally, divide by \( 2 \) to find \( x = -2 \). Voila! You’ve found the solution. Now, here's a fun fact: equations like this have been used for centuries to represent relationships in fields ranging from engineering to finance! Using algebra to solve real-life issues is like unlocking a treasure chest of knowledge, where each variable is a unique gem waiting to reveal its secrets. Keep exploring!
