Question

6(х – 2) – 5(х +3) = 2х + 19

Answer 1

$6(x - 2) - 5(x + 3) = 2x + 19 \\ 6x - 12 - 5x - 15 = 2x + 19 \\ 6x - 5x - 2x = 12 + 15 + 19 \\ - x = 46 \\ x = - 46$

Answer 2

Let's solve the equation step by step:

6(x - 2) - 5(x + 3) = 2x + 19

First, let's distribute the coefficients:

6x - 12 - 5x - 15 = 2x + 19

Combine like terms on both sides:

(6x - 5x) + (-12 - 15) = 2x + 19

x - 27 = 2x + 19

Now, let's isolate the variable x on one side. To do this, we'll move all the terms with x to the left side and the constant terms to the right side:

x - 2x = 19 + 27

-x = 46

To eliminate the negative sign, multiply both sides of the equation by -1:

(-1)(-x) = (-1)(46)

x = -46

Therefore, the solution to the equation 6(x - 2) - 5(x + 3) = 2x + 19 is x = -46.