How do you work these problems?

8x-7=15+19x

7.6x-3.5x=-65.6

-7x-23=-25 1/3

Step one: combine like-term - put all the x on one side and all the whole number on the other side by addition/subtraction.

Step two: get x on one side by division/multiplication.

Ex:
3x+5=2x-3
Subtract 2x and -5 on each side of the equation
3x-2x + 5-5 = 2x-2x - 3-5
x = -8

f(x)=6x^3+19x^2+8x-5

find all the zeros of the given function.

To work these problems, we need to solve for the variable x. Here's how you can approach each equation:

Equation 1: 8x - 7 = 15 + 19x

Step 1: Collect like terms. Move all terms containing x to one side and the constant terms to the other side of the equation.

8x - 19x = 15 + 7

Step 2: Simplify the equation.

-11x = 22

Step 3: Isolate the variable x by dividing both sides of the equation by the coefficient of x (-11).

x = 22 / -11

x = -2

So, the solution to the equation is x = -2.

Equation 2: 7.6x - 3.5x = -65.6

Step 1: Collect like terms. Combine the terms containing x.

(7.6 - 3.5) x = -65.6

Step 2: Simplify the equation using the subtraction between coefficients.

4.1x = -65.6

Step 3: Isolate the variable x by dividing both sides of the equation by the coefficient of x (4.1).

x = -65.6 / 4.1

x = -16

Therefore, the solution to the equation is x = -16.

Equation 3: -7x - 23 = -25 1/3

Step 1: Convert the fraction on the right side into a single fraction.

-7x - 23 = -76/3

Step 2: Simplify the equation.

-7x = -76/3 + 23

Step 3: Find a common denominator to add the fractions.

-7x = -(76 + 69) / 3

-7x = -145 / 3

Step 4: Isolate the variable x by dividing both sides of the equation by the coefficient of x (-7).

x = -145 / (3 * -7)

x = 145/21

So, the solution to the equation is x = 145/21.