Solve the equation.
2 left parenthesis 3 x plus 5 right parenthesis equals 46
To solve the equation, we need to isolate the variable, which in this case is x.
First, distribute the 2 to the terms inside the parentheses:
2 * 3x = 6x
2 * 5 = 10
Now we have the equation: 6x + 10 = 46
Next, subtract 10 from both sides of the equation:
6x + 10 - 10 = 46 - 10
6x = 36
Finally, divide both sides of the equation by 6:
6x/6 = 36/6
x = 6
Therefore, the solution to the equation 2(3x + 5) = 46 is x = 6.
To solve the equation 2(3x + 5) = 46, we can follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses.
2 * 3x + 2 * 5 = 46.
6x + 10 = 46.
Step 2: Simplify the equation by subtracting 10 from both sides.
6x + 10 - 10 = 46 - 10.
6x = 36.
Step 3: Divide both sides of the equation by 6 to isolate the variable x.
6x / 6 = 36 / 6.
x = 6.
Therefore, the solution to the equation 2(3x + 5) = 46 is x = 6.