2 (3x + 1) = 7x – 5
x = 7
To solve this equation, follow these steps:
Step 1: Distribute the 2 to the terms inside the parenthesis.
2(3x + 1) = 7x – 5
6x + 2 = 7x – 5
Step 2: Move all the x terms to one side and all the constant terms to the other side by subtracting 6x from both sides and adding 5 to both sides.
6x + 2 – 6x + 5 = 7x – 5 – 6x + 5
7 = x
Step 3: Check the solution by substituting the value of x back into the original equation.
2(3(7) + 1) = 7(7) – 5
44 = 44
Therefore, x = 7 is the solution to the equation 2(3x + 1) = 7x – 5.
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