I need help with solving this equation
and the steps on how to do it?
5X-9-19+22X-38X=-17+17X-9+12
well for this question the whole goal is to get all the x's on one side and all the numbers on the other side.
1st combine all like terms on the same sides
5X-9-19+22X-38X=-17+17X-9+12
-11x-28 = 17x-14
then go and bring the x's over to one side and the numbers over to the other side(subtract or add)
-28x= 14
then divide to get x
x= 14/(-28)
so what do you get?
Add like terms. For example, on the left
5X + 22X - 38X = -11X
on the right -17 -9 + 12 = -14
-11X-9-19 = 17X-14
Combine the -9 and -19
-11X-28=17X-14
Now add 28 to both sides
-11X-28+28 = 17X-14+28
-11X=17X+14
Subtract 17X from both sides
-11X-17X=17X-17X+14
-28X=14
Multiply both sides by -1
28X = -14
Divide both sides by 28
28X/28=-14/28
X = -1/2
To solve the equation 5x - 9 - 19 + 22x - 38x = -17 + 17x - 9 + 12, we can follow these steps:
Step 1: Simplify both sides of the equation by combining like terms.
On the left side:
5x - 9 - 19 + 22x - 38x simplifies to (-11x - 28).
On the right side:
-17 + 17x - 9 + 12 simplifies to (17x - 14).
So the equation becomes: -11x - 28 = 17x - 14.
Step 2: Isolate the variable on one side of the equation.
To isolate the variable (x) on one side, we need to get rid of the terms on the other side. Since the x terms are already together on the right side, we can move the constant term (-14) to the left side by adding 14 to both sides:
(-11x - 28) + 14 = (17x - 14) + 14.
This simplifies to: -11x - 14 = 17x.
Step 3: Combine like terms and simplify.
We can simplify further by rearranging the equation to have the variable terms on one side and the constant term on the other side:
-11x - 14 - 17x = 0.
Combining the x-terms gives: -28x - 14 = 0.
Step 4: Solve for x.
To solve for x, we need to isolate the variable term (-28x) by getting rid of the constant term (-14). We can do this by adding 14 to both sides:
-28x - 14 + 14 = 0 + 14.
That simplifies to: -28x = 14.
To solve for x, we can divide both sides by -28:
(-28x) / (-28) = 14 / (-28).
This gives us: x = -0.5.
Therefore, the solution to the equation 5x - 9 - 19 + 22x - 38x = -17 + 17x - 9 + 12 is x = -0.5.