Solve the equation.
2 left parenthesis 3 x plus 5 right parenthesis equals 46
(1 point)
Responses
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To solve the equation, we need to isolate the variable x on one side of the equation.
Given equation: 2(3x + 5) = 46
First, distribute the 2 to the terms inside the parentheses:
6x + 10 = 46
Next, subtract 10 from both sides to move the constant term to the other side:
6x = 36
Finally, divide both sides by 6 to solve for x:
x = 36/6 = 6
So the solution to the equation is x = 6.
To solve the equation (2(3x + 5) = 46), we can follow these steps:
1. Distribute the 2 to both terms inside the parentheses:
6x + 10 = 46
2. Subtract 10 from both sides to isolate the variable term:
6x = 46 - 10
6x = 36
3. Divide both sides of the equation by 6 to solve for x:
x = 36 / 6
x = 6
Therefore, the solution to the equation is x = 6.