13 (6x – 5) – X = 13 – 2(x + 1) Solve For X

3 min read Jun 27, 2024

Solve for x: 13(6x – 5) – x = 13 – 2(x + 1)

In this article, we will solve for x in the equation 13(6x – 5) – x = 13 – 2(x + 1).

First, let's expand the left side of the equation:

13(6x – 5) = 13(6x) – 13(5) = 78x – 65

So, the equation becomes:

78x – 65 – x = 13 – 2(x + 1)

Now, let's simplify the left side of the equation:

78x – x = 77x 77x – 65 = 13 – 2(x + 1)

Next, let's expand the right side of the equation:

13 – 2(x + 1) = 13 – 2x – 2 = 11 – 2x

So, the equation becomes:

77x – 65 = 11 – 2x

Now, let's add 2x to both sides of the equation:

77x + 2x – 65 = 11 79x – 65 = 11

Next, let's add 65 to both sides of the equation:

79x = 11 + 65 79x = 76

Finally, let's divide both sides of the equation by 79:

x = 76/79 x = 48/79

Therefore, the value of x is 48/79.

In this article, we have solved for x in the equation 13(6x – 5) – x = 13 – 2(x + 1) and found that x = 48/79.