To solve the equation [tex]\(65 + 15x = 35\)[/tex], follow these steps:
1. Isolate the term with the variable [tex]\(x\)[/tex]:
Start by moving the constant term on the left side of the equation to the right side. You can do this by subtracting 65 from both sides of the equation:
[tex]\[
65 + 15x - 65 = 35 - 65
\][/tex]
Simplifying both sides, you get:
[tex]\[
15x = 35 - 65
\][/tex]
2. Simplify the right side:
Calculate the difference on the right side:
[tex]\[
15x = -30
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], divide both sides of the equation by 15:
[tex]\[
x = \frac{-30}{15}
\][/tex]
4. Simplify the division:
Perform the division to find the value of [tex]\(x\)[/tex]:
[tex]\[
x = -2
\][/tex]
So, the solution to the equation [tex]\(65 + 15x = 35\)[/tex] is [tex]\(x = -2\)[/tex].
