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Solve the following equations : 15+x=5...

Solve the following equations :
`15+x=5x+3`

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To solve the equation \( 15 + x = 5x + 3 \), we will follow these steps: ### Step 1: Write down the equation We start with the equation: \[ 15 + x = 5x + 3 \] ### Step 2: Move constants to one side We want to isolate the variable \( x \). To do this, we can subtract \( 3 \) from both sides of the equation: \[ 15 + x - 3 = 5x + 3 - 3 \] This simplifies to: \[ 12 + x = 5x \] ### Step 3: Move the variable terms to one side Next, we want to get all the \( x \) terms on one side. We can do this by subtracting \( x \) from both sides: \[ 12 + x - x = 5x - x \] This simplifies to: \[ 12 = 4x \] ### Step 4: Solve for \( x \) Now, we need to isolate \( x \). We can do this by dividing both sides by \( 4 \): \[ \frac{12}{4} = \frac{4x}{4} \] This simplifies to: \[ 3 = x \] ### Step 5: Write the final answer Thus, the solution to the equation \( 15 + x = 5x + 3 \) is: \[ x = 3 \] ---
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