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