Question

Solve the following linear equation for
x
x.

​

5
x
−
2
+
x
=
9
+
3
x
+
10
5x−2+x=9+3x+10

Answer 1

To solve the equation \(5x - 2 + x = 9 + 3x + 10\), we will first simplify both sides of the equation.

1. Combine like terms:
\[
5x + x - 2 = 9 + 10 + 3x
\]
This simplifies to:
\[
6x - 2 = 19 + 3x
\]

2. Next, we will isolate the variable \(x\). To do this, we can subtract \(3x\) from both sides:
\[
6x - 3x - 2 = 19
\]
This simplifies to:
\[
3x - 2 = 19
\]

3. Now, add \(2\) to both sides to further isolate the term with \(x\):
\[
3x = 19 + 2
\]
This gives:
\[
3x = 21
\]

4. Finally, divide both sides by \(3\):
\[
x = \frac{21}{3}
\]
Thus:
\[
x = 7
\]

So, the solution to the equation is \(x = 7\).