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3(x+10)=3x+10

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To solve the equation \( 3(x+10) = 3x + 10 \), we can start by simplifying the left side:

  1. Distribute the \(3\) on the left side: \[ 3(x + 10) = 3x + 30 \]

Now the equation looks like this: \[ 3x + 30 = 3x + 10 \]

  1. Next, we can subtract \(3x\) from both sides: \[ 30 = 10 \]

This statement is false, which means that the original equation has no solution. The left and right sides are not equal for any value of \(x\).

Therefore, the conclusion is: The equation has no solutions.