10 x minus 4equals50 x plus 12

Answer 1

To solve the equation \(10x - 4 = 50x + 12\), follow these steps:

1. Move all terms involving \(x\) to one side of the equation and constant terms to the other side. Start by subtracting \(10x\) from both sides:

   \[ -4 = 50x - 10x + 12 \] \[ -4 = 40x + 12 \]

2. Next, subtract \(12\) from both sides:

   \[ -4 - 12 = 40x \] \[ -16 = 40x \]

3. Divide both sides by \(40\) to solve for \(x\):

   \[ x = \frac{-16}{40} \]

4. Simplify the fraction:

   \[ x = \frac{-2}{5} \]

So, the solution is: \[ x = -\frac{2}{5} \]