Mccoy Chang
10/24/2023 · Senior High School
ranslate and solve the following: \( 3 x \) less than 2 times the sum of \( 2 x \) and 1 is equal to the sum of 2 and 5.
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Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( 3x-2(2x+1)=2+5 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(3x-2\left(2x+1\right)=2+5\)
- step1: Add the numbers:
\(3x-2\left(2x+1\right)=7\)
- step2: Move the expression to the left side:
\(3x-2\left(2x+1\right)-7=0\)
- step3: Calculate:
\(-x-9=0\)
- step4: Move the constant to the right side:
\(-x=0+9\)
- step5: Remove 0:
\(-x=9\)
- step6: Change the signs:
\(x=-9\)
The solution to the equation \(3x - 2(2x + 1) = 2 + 5\) is \(x = -9\).
Quick Answer
The solution is \(x = -9\).
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