Use the drop-down menus to choose steps in order to correctly solve
1 + 2b = 12 – 4b – 2b
2b = 24 – 4b – 2b
Solving for b in the equation 1 + 2b = 12 – 4b – 2b
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Use the drop-down menus to choose steps in order to correctly solve
1 + 2b = 12 – 4b – 2b
2b = 24 – 4b – 2b
To solve the equation step-by-step, let’s start with the original equation:
1. Rewrite the equation: Start with the equation (1 + 2b = 12 – 4b – 2b).
2. Combine like terms on the right side: The right side can be simplified. We have (-4b – 2b = -6b), so it becomes (12 – 6b). The equation now looks like this:
[
1 + 2b = 12 – 6b
]
3. Move all terms involving b to one side: Add (6b) to both sides:
[
1 + 2b + 6b = 12
]
This simplifies to:
[
1 + 8b = 12
]
4. Isolate the b term: Subtract (1) from both sides:
[
8b = 12 – 1
]
Which simplifies to:
[
8b = 11
]
5. Solve for b: Divide both sides by (8):
[
b = frac{11}{8}
]
So the solution is (b = frac{11}{8}).
This process helps you see how to isolate the