Answer :
To solve the equation [tex]\(7 + 4x = 16 + x\)[/tex] for [tex]\(x\)[/tex], we’re going to follow these steps:
1. Get all the [tex]\(x\)[/tex] terms on one side of the equation and the constant terms on the other.
Start by subtracting [tex]\(x\)[/tex] from both sides of the equation to get all the variable terms on one side:
[tex]\[
7 + 4x - x = 16
\][/tex]
Simplify:
[tex]\[
7 + 3x = 16
\][/tex]
2. Isolate the term with [tex]\(x\)[/tex].
Subtract 7 from both sides to move the constant to the other side:
[tex]\[
3x = 16 - 7
\][/tex]
Simplify:
[tex]\[
3x = 9
\][/tex]
3. Solve for [tex]\(x\)[/tex].
Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{9}{3}
\][/tex]
Simplify:
[tex]\[
x = 3
\][/tex]
So, the solution to the equation [tex]\(7 + 4x = 16 + x\)[/tex] is [tex]\(x = 3\)[/tex].
1. Get all the [tex]\(x\)[/tex] terms on one side of the equation and the constant terms on the other.
Start by subtracting [tex]\(x\)[/tex] from both sides of the equation to get all the variable terms on one side:
[tex]\[
7 + 4x - x = 16
\][/tex]
Simplify:
[tex]\[
7 + 3x = 16
\][/tex]
2. Isolate the term with [tex]\(x\)[/tex].
Subtract 7 from both sides to move the constant to the other side:
[tex]\[
3x = 16 - 7
\][/tex]
Simplify:
[tex]\[
3x = 9
\][/tex]
3. Solve for [tex]\(x\)[/tex].
Divide both sides by 3 to solve for [tex]\(x\)[/tex]:
[tex]\[
x = \frac{9}{3}
\][/tex]
Simplify:
[tex]\[
x = 3
\][/tex]
So, the solution to the equation [tex]\(7 + 4x = 16 + x\)[/tex] is [tex]\(x = 3\)[/tex].
