Solve the equation.
4x – 13 = 2x + 9
x = 2
x = 11
x = 3.7
x = 22
Solve the equation: 4x – 13 = 2x + 9.
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Solve the equation.
4x – 13 = 2x + 9
x = 2
x = 11
x = 3.7
x = 22
To solve the equation (4x – 13 = 2x + 9), follow these steps:
1. Isolate the variable: Begin by getting all terms involving (x) on one side and constant terms on the other.
Subtract (2x) from both sides:
[
4x – 2x – 13 = 9
]
This simplifies to:
[
2x – 13 = 9
]
2. Add 13 to both sides to isolate the term with (x):
[
2x – 13 + 13 = 9 + 13
]
Which simplifies to:
[
2x = 22
]
3. Divide both sides by 2 to solve for (x):
[
x = frac{22}{2} = 11
]
Thus, the solution is (x = 11).
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