Questions: Solve. 6-3x=5x-10x+18

Solve. 6-3x=5x-10x+18
Transcript text: Solve. \[ 6-3 x=5 x-10 x+18 \]
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Solution

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Solution Steps

Step 1: Simplify the equation

Start by simplifying both sides of the equation: \[ 6 - 3x = 5x - 10x + 18 \] Combine like terms on the right-hand side: \[ 6 - 3x = -5x + 18 \]

Step 2: Move all \(x\)-terms to one side and constants to the other

Add \(5x\) to both sides to move all \(x\)-terms to the left: \[ 6 - 3x + 5x = 18 \] Simplify: \[ 6 + 2x = 18 \]

Subtract \(6\) from both sides to move constants to the right: \[ 2x = 12 \]

Step 3: Solve for \(x\)

Divide both sides by \(2\) to isolate \(x\): \[ x = \frac{12}{2} = 6 \]

Final Answer

\[ \boxed{x = 6} \]

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