Gardner Li
10/12/2023 · Middle School
Question 7 of 9 , Step 1 of 1 Solve the linear equation and simplify your answer. Express your solution as an integer, a simplified fraction, or a decimal rounded to two decimal places. \[ 3 x-12=-2 x+8 \]
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Step-by-step Solution
Solve the equation \( 3x-12=-2x+8 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(3x-12=-2x+8\)
- step1: Move the variable to the left side:
\(3x-12+2x=8\)
- step2: Add the terms:
\(5x-12=8\)
- step3: Move the constant to the right side:
\(5x=8+12\)
- step4: Add the numbers:
\(5x=20\)
- step5: Divide both sides:
\(\frac{5x}{5}=\frac{20}{5}\)
- step6: Divide the numbers:
\(x=4\)
The solution to the linear equation \(3x-12=-2x+8\) is \(x=4\).
Quick Answer
\( x=4 \)
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