2 (3x + 1) = 7x – 5
To solve this equation, we will start by distributing the 2 on the left side of the equation:
2 * 3x + 2 * 1 = 7x – 5
This simplifies to:
6x + 2 = 7x – 5
Now, we can isolate the x term on one side of the equation by subtracting 7x from both sides:
6x – 7x + 2 = 7x – 7x – 5
Simplifying further:
– x + 2 = – 5
Next, we can isolate the x term by subtracting 2 from both sides:
– x + 2 – 2 = – 5 – 2
This simplifies to:
– x = – 7
Finally, to solve for x, we multiply both sides of the equation by -1 to eliminate the negative sign in front of x:
– 1 * – x = – 7 * -1
This gives us:
x = 7
So, the solution to the equation 2(3x + 1) = 7x – 5 is x = 7
To solve this equation, we will start by distributing the 2 on the left side of the equation:
2 * 3x + 2 * 1 = 7x – 5
This simplifies to:
6x + 2 = 7x – 5
Now, we can isolate the x term on one side of the equation by subtracting 7x from both sides:
6x – 7x + 2 = 7x – 7x – 5
Simplifying further:
– x + 2 = – 5
Next, we can isolate the x term by subtracting 2 from both sides:
– x + 2 – 2 = – 5 – 2
This simplifies to:
– x = – 7
Finally, to solve for x, we multiply both sides of the equation by -1 to eliminate the negative sign in front of x:
– 1 * – x = – 7 * -1
This gives us:
x = 7
So, the solution to the equation 2(3x + 1) = 7x – 5 is x = 7.
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