To solve for \(\( x \)\) in the equation, let's work through the given problem step by step.
We need to solve for \(\( x \)\) in the equation:
\(\[ 4 + 29x = 15x \]\)
Step 1: Start by isolating the terms involving \(\( x \)\) on one side of the equation. We can do this by subtracting \(\( 15x \)\) from both sides of the equation:
\(\[ 4 + 29x - 15x = 15x - 15x \]\)
Simplify the equation:
\(\[ 4 + 14x = 0 \]\)
Step 2: Now, isolate \(\( x \)\) by subtracting 4 from both sides of the equation:
\(\[ 14x = -4 \]\)
Step 3: Lastly, solve for \(\( x \)\) by dividing both sides of the equation by 14:
\(\[ x = \frac{-4}{14} \]\)
Simplify the fraction:
\(\[ x = \frac{-2}{7} \]\)
So, the solution to the equation is:
\(\[ x = -\frac{2}{7} \]\)
