It seems like there are some errors within the steps provided. Let's rework the solution step by step to solve the equation accurately.
Given the equation:
[tex]\[ 47 + 3x + 10 = 9x - 39 \][/tex]
Step 1: Combine the constant terms on the left side:
[tex]\[ 47 + 10 = 57 \][/tex]
So the equation simplifies to:
[tex]\[ 57 + 3x = 9x - 39 \][/tex]
Step 2: Move all terms involving [tex]\( x \)[/tex] to one side and constant terms to the other side:
Subtract [tex]\( 3x \)[/tex] from both sides:
[tex]\[ 57 = 9x - 3x - 39 \][/tex]
This simplifies to:
[tex]\[ 57 = 6x - 39 \][/tex]
Step 3: Move the constant term [tex]\(-39\)[/tex] to the left side by adding 39 to both sides:
[tex]\[ 57 + 39 = 6x \][/tex]
This simplifies to:
[tex]\[ 96 = 6x \][/tex]
Step 4: Solve for [tex]\( x \)[/tex] by dividing both sides by 6:
[tex]\[ x = \frac{96}{6} \][/tex]
This simplifies to:
[tex]\[ x = 16 \][/tex]
So, the correct value of [tex]\( x \)[/tex] is [tex]\( 16 \)[/tex].
