I need someone to tell me how to do these kinds of problems (In great detail please)
-5x=9-2x
-8x-10=4x+14
-5x=9-2x
We need to get the knowns on one side of the equation and the unknowns on the other side. Start by adding 2x to both sides of the equation.
-5x + 2x = 9 - 2x + 2x
-3x = 9
x = 9/-3
x = -3
__________________________
-8x-10=4x+14
-8x - 4x = 14 + 10
-12x = 24
x = -2
6=p-8
I need to learn how to convert miles to square inches.
the length of each of the legs of an isosceles triangle is 3km longer than the base. the perimeter of the triangle is 24km. find the length of each side
Sure! Let's go through each problem step-by-step and I will explain how to solve them.
Problem 1: -5x = 9 - 2x
Step 1: Start by simplifying both sides of the equation. On the right side, combine the constant terms (9) together. On the left side, combine the x terms (-5x and -2x) together.
-5x + 2x = 9
Step 2: Simplify further. -5x + 2x is equal to -3x.
-3x = 9
Step 3: To isolate the variable x, divide both sides of the equation by the coefficient (-3) of x.
(-3x) / (-3) = 9 / (-3)
Simplifying this expression gives:
x = -3
So, the solution to -5x = 9 - 2x is x = -3.
Now let's move on to the second problem.
Problem 2: -8x - 10 = 4x + 14
Step 1: Start by simplifying both sides of the equation. On the right side, combine the constant terms (14) together. On the left side, combine the x terms (-8x and 4x) together.
-8x - 4x = 14
Step 2: Simplify further. -8x - 4x is equal to -12x.
-12x = 14
Step 3: To isolate the variable x, we need to get rid of the coefficient (-12) in front of x. We can do this by dividing both sides of the equation by -12.
(-12x) / (-12) = 14 / (-12)
Simplifying this expression gives:
x = -14/12
This fraction can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 2.
x = -7/6
So, the solution to -8x - 10 = 4x + 14 is x = -7/6.
I hope this detailed explanation helps you understand how to solve these types of problems! Let me know if you have any further questions.