To find the value of [tex]\(x\)[/tex] that satisfies the equation [tex]\(4x - 7 = 25\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
4x - 7 = 25
\][/tex]
2. Add 7 to both sides of the equation to isolate the term with [tex]\(x\)[/tex]:
[tex]\[
4x - 7 + 7 = 25 + 7
\][/tex]
Simplifying this, we get:
[tex]\[
4x = 32
\][/tex]
3. Divide both sides of the equation by 4 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{4x}{4} = \frac{32}{4}
\][/tex]
Simplifying this, we get:
[tex]\[
x = 8
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] that satisfies the equation [tex]\(4x - 7 = 25\)[/tex] is:
[tex]\[
x = 8
\][/tex]
