If 8x + 24 − 6x = 2 − x + 15x − 10, what is the value of x?
subtract 14x from each side, subtract 24 from each side.
8x + 24 − 6x = 2 − x + 15x − 10
( 8x - 6x ) +24 = ( 2 - 10 ) + ( 15x - x )
2x + 24 = -8 + 14x
2x - 14x = -8 - 24
-12x = - 32 Divide with -4
3x = 8 Divide with 3
x = 8/3
To solve for x in the given equation, we need to combine like terms on both sides and isolate the variable x.
Starting with the given equation:
8x + 24 − 6x = 2 − x + 15x − 10
First, let's combine the like terms on each side:
(8x - 6x) + 24 = 2 + (-x + 15x) - 10
Simplifying further:
2x + 24 = 2 + 14x - 10
Now, let's simplify the equation by combining the constant terms on the right side:
2x + 24 = 2 -10 + 14x
Combine the constants on the right side:
2x + 24 = -8 + 14x
Next, let's isolate the x terms by subtracting 2x from both sides:
2x + 24 - 2x = -8 + 14x - 2x
Simplifying further:
24 = -8 + 12x
Next, let's isolate the constant terms by subtracting -8 from both sides:
24 + 8 = -8 - 8 + 12x
Simplifying further:
32 = 12x
Finally, to solve for x, divide both sides by 12:
32/12 = 12x/12
Simplifying further:
8/3 = x
So, the value of x is 8/3.