Sure! Let's solve the equation step-by-step:
Given the equation:
[tex]\[ 5x + 7x = 60 \][/tex]
1. Combine like terms on the left-hand side:
[tex]\[ 5x + 7x = 12x \][/tex]
So the equation simplifies to:
[tex]\[ 12x = 60 \][/tex]
2. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 12:
[tex]\[ x = \frac{60}{12} \][/tex]
3. Simplify the fraction:
[tex]\[ x = 5 \][/tex]
So, the solution to the equation [tex]\( 5x + 7x = 60 \)[/tex] is:
[tex]\[ x = 5 \][/tex]
Thus, the correct answer is:
C. [tex]\( x = 5 \)[/tex]
