Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\(x=\frac{2}{3}\) 或 \(x=0.\dot{6}\)
Solution
Solve the equation \( 7x-(5-x)=4-(x+3) \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(7x-\left(5-x\right)=4-\left(x+3\right)\)
- step1: Subtract the terms:
\(8x-5=1-x\)
- step2: Move the variable to the left side:
\(8x-5+x=1\)
- step3: Add the terms:
\(9x-5=1\)
- step4: Move the constant to the right side:
\(9x=1+5\)
- step5: Add the numbers:
\(9x=6\)
- step6: Divide both sides:
\(\frac{9x}{9}=\frac{6}{9}\)
- step7: Divide the numbers:
\(x=\frac{2}{3}\)
The solution to the equation \(7x-(5-x)=4-(x+3)\) is \(x=\frac{2}{3}\) or \(x=0.\dot{6}\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
Let's start with the magic that happens in the equation \( 7x - (5 - x) = 4 - (x + 3) \). This equation brings together the concept of distributing and combining like terms. When you simplify the left side, it transforms to \( 8x - 5 = 1 - x \). Look out for those little negatives! Now, solving for \( x \) involves adding \( x \) to both sides and bringing all terms involving \( x \) together, leading us to \( 9x = 6 \). Divide by 9, and voila! You discover \( x = \frac{2}{3} \). Remember, solving equations is like piecing together a puzzle — each step brings you closer to the big picture!
