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What is the solution to the following equation?

[tex]5x + 7x = 60[/tex]

A. [tex]x = 15[/tex]

B. [tex]x = 12[/tex]

C. [tex]x = 5[/tex]

D. [tex]x = 2[/tex]


Sagot :

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]