2 (x + 1) = 6x – 46
To solve the equation 2(x + 1) = 6x – 46, we first need to distribute the 2 to the terms inside the parentheses
To solve the equation 2(x + 1) = 6x – 46, we first need to distribute the 2 to the terms inside the parentheses.
2(x + 1) = 6x – 46
2 * x + 2 * 1 = 6x – 46
2x + 2 = 6x – 46
Next, we want to simplify the equation by combining like terms. In this case, the like terms are the x terms.
2x + 2 = 6x – 46
To isolate the x terms on one side of the equation, we can subtract 2x from both sides.
2x + 2 – 2x = 6x – 46 – 2x
2 = 4x – 46
Now, to isolate the constants on one side of the equation, we can add 46 to both sides.
2 + 46 = 4x – 46 + 46
48 = 4x
Lastly, to solve for x, we divide both sides by 4.
48/4 = 4x/4
12 = x
Therefore, the solution to the equation 2(x + 1) = 6x – 46 is x = 12.
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