Question

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