Solve for x : 13x+24=3x−26 .(1 point)
To solve for x, we need to get all the x terms on one side of the equation and all the constant terms on the other side.
Starting with the given equation:
13x + 24 = 3x - 26
We can start by moving the 3x term to the left side by subtracting 3x from both sides:
13x - 3x + 24 = 3x - 3x - 26
This simplifies to:
10x + 24 = -26
Next, we can move the constant term to the other side by subtracting 24 from both sides:
10x + 24 - 24 = -26 - 24
This simplifies to:
10x = -50
Finally, we can solve for x by dividing both sides by 10:
10x/10 = -50/10
This simplifies to:
x = -5
So the solution is x = -5.
To solve for x in the equation 13x + 24 = 3x - 26, we can start by combining like terms.
First, we can subtract 3x from both sides of the equation:
13x + 24 - 3x = 3x - 26 - 3x
This simplifies to:
10x + 24 = -26
Next, we can subtract 24 from both sides of the equation:
10x + 24 - 24 = -26 - 24
This simplifies to:
10x = -50
To isolate x, we can divide both sides of the equation by 10:
(10x)/10 = -50/10
This simplifies to:
x = -5
Therefore, the solution to the equation is x = -5.
To solve for x in the equation 13x + 24 = 3x - 26, we need to isolate the variable x on one side of the equation.
First, we can start by simplifying both sides of the equation. We can combine the like terms on each side:
On the left side, 13x + 24 remains as it is.
On the right side, 3x - 26 can be simplified by combining the like terms.
Since we have a positive 3x and a negative 26, we can subtract 26 from 3x to get:
3x - 26 - 26 = 3x - 52
Now, the equation becomes: 13x + 24 = 3x - 52.
Next, we can eliminate the 3x term by subtracting 3x from both sides of the equation.
By doing so, we get:
13x + 24 - 3x = 3x - 52 - 3x
Simplifying this further, the equation becomes:
10x + 24 = -52
Now, we aim to isolate x, so we subtract 24 from both sides:
10x + 24 - 24 = -52 - 24
This simplifies to:
10x = -76
Lastly, to solve for x, we divide both sides of the equation by 10:
(10x) / 10 = (-76) / 10
The final result is:
x = -76/10
We can simplify this further if required:
x = -38/5
Therefore, the value of x is -38/5 or -7.6.