(10х-3)+(14х-4)=8-(15-22х)

To solve the equation, let's simplify each side step by step.

Starting with the left side:

(10x-3) + (14x-4)

Combining similar terms:

10x + 14x - 3 - 4

24x - 7

Now let's simplify the right side:

8 - (15-22x)

Inside the parentheses, we have a subtraction, so let's simplify that first:

8 - (15-22x) = 8 - 15 + 22x

Now, combining similar terms:

-7 + 22x

So the equation becomes:

24x - 7 = -7 + 22x

Both sides are equal, so we can solve this equation by isolating the x term. Let's move the 22x term to the left side by subtracting 22x from both sides:

24x - 22x - 7 = -7 - 22x + 22x

Simplifying:

2x - 7 = 0

To isolate the x term, let's move the constant term to the right side by adding 7 to both sides:

2x - 7 + 7 = 0 + 7

Simplifying:

2x = 7

Finally, to solve for x, divide both sides by 2:

2x/2 = 7/2

Simplifying:

x = 7/2

So the solution to the equation is x = 7/2.