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3(4x+1)=10x

3 answers

To simplify the equation \(3(4x + 1) = 10x\), follow these steps:

  1. Distribute the 3 on the left side: \[ 3 \cdot 4x + 3 \cdot 1 = 12x + 3 \] So the equation becomes: \[ 12x + 3 = 10x \]

  2. Next, isolate \(x\) by moving the terms involving \(x\) to one side of the equation. Subtract \(10x\) from both sides: \[ 12x - 10x + 3 = 0 \] This simplifies to: \[ 2x + 3 = 0 \]

  3. Now, isolate \(2x\) by subtracting 3 from both sides: \[ 2x = -3 \]

  4. Finally, divide both sides by 2 to solve for \(x\): \[ x = -\frac{3}{2} \]

Thus, the solution to the equation is: \[ x = -\frac{3}{2} \]

try again make the number

To simplify the equation \(3(4x + 1) = 10x\), let's go through the steps with an emphasis on creating a numerical solution:

  1. Distribute the 3 on the left side: \[ 3 \cdot 4x + 3 \cdot 1 = 12x + 3 \] So the equation becomes: \[ 12x + 3 = 10x \]

  2. Isolate the \(x\) terms. First, subtract \(10x\) from both sides: \[ 12x + 3 - 10x = 0 \] This simplifies to: \[ 2x + 3 = 0 \]

  3. Next, isolate \(2x\) by subtracting 3 from both sides: \[ 2x = -3 \]

  4. Finally, divide both sides by 2 to solve for \(x\): \[ x = -\frac{3}{2} \]

Now, if you want to express \(-\frac{3}{2}\) as a decimal, it is: \[ x = -1.5 \]

So the solution to the equation is: \[ x = -1.5 \]