Solving Equations | Isolating Variables to Find Solutions

2 (x + 1) = 6x – 46

To solve the equation 2(x + 1) = 6x – 46, you need to isolate the variable x

To solve the equation 2(x + 1) = 6x – 46, you need to isolate the variable x.

1. Distribute the 2 on the left side of the equation:
2(x + 1) = 6x – 46
2x + 2 = 6x – 46

2. Move all the x terms to one side of the equation by subtracting 2x from both sides:
2x + 2 – 2x = 6x – 46 – 2x
2 = 4x – 46

3. Add 46 to both sides of the equation to isolate the term containing x:
2 + 46 = 4x – 46 + 46
48 = 4x

4. Divide both sides of the equation by 4 to solve for x:
48/4 = 4x/4
12 = x

Therefore, the solution to the equation is x = 12.

Definition:

Equation: An equation is a mathematical statement that uses an equal sign to indicate that two expressions have the same value. It often involves variables and unknowns that you need to solve for. Equations represent a balance between the left and right side of the equal sign.

Isolate: Isolating a variable in an equation means rearranging the equation to have the variable on one side of the equation by itself. This process involves performing opposite operations or algebraic manipulations to remove other terms or constants from the side of the equation containing the variable. By isolating the variable, you can find its value and solve the equation.

More Answers:
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Solving the Equation 2(3x + 1) = 7x – 5 | Step-by-Step Math Solution

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