Solving Equation: Step-by-Step Guide with Solution

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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