To solve the equation [tex]\(3x - 7 + 4x = 28\)[/tex], let's follow these steps methodically:
1. Combine like terms on the left-hand side of the equation:
[tex]\[
3x + 4x - 7 = 28
\][/tex]
Simplifying this, we get:
[tex]\[
7x - 7 = 28
\][/tex]
2. Isolate the term with [tex]\(x\)[/tex] by adding 7 to both sides of the equation:
[tex]\[
7x - 7 + 7 = 28 + 7
\][/tex]
This simplifies to:
[tex]\[
7x = 35
\][/tex]
3. Solve for [tex]\(x\)[/tex] by dividing both sides of the equation by 7:
[tex]\[
x = \frac{35}{7}
\][/tex]
Simplify the fraction:
[tex]\[
x = 5
\][/tex]
Therefore, the solution to the equation [tex]\(3x - 7 + 4x = 28\)[/tex] is [tex]\(x = 5\)[/tex].
So, the correct answer is:
C. [tex]\(x = 5\)[/tex]
