2 (24xr+7) = 39x ?x + 14
Expanding the expression on the left-hand side:
2(24xr + 7) = 48xr + 14
Equating it to the right-hand side:
48xr + 14 = 39x + 14
Subtracting 14 from both sides:
48xr = 39x
Dividing both sides by 39x:
48r = 1
Dividing both sides by 48:
r = 1/48
To solve the equation 2(24xr + 7) = 39x ?x + 14 step-by-step, we need to distribute the 2 to the terms inside the parentheses.
First, we have:
2 * 24xr + 2 * 7 = 39x ?x + 14
This simplifies to:
48xr + 14 = 39x ?x + 14
Next, we need to rearrange the terms to have all variables on one side and constants on the other side of the equation. Let's move the terms involving x to the left side:
48xr - 39x ?x = 14 - 14
Now, we have:
48xr - 39x ?x = 0
We can factor out the common factor of x:
x (48r - 39 ?1) = 0
Lastly, we can set each factor equal to zero and solve for x:
x = 0
Or
48r - 39 = 0
To solve for r, we need to isolate the variable:
48r = 39
r = 39/48
Therefore, the solutions to the equation are x = 0 and r = 39/48.
To solve this equation, we'll follow these steps:
1. Distribute the 2 to the terms inside the parentheses:
48xr + 14 = 39x + 14
2. Move all the terms containing x to one side of the equation by subtracting 39x from both sides:
48xr - 39x + 14 = 14
3. Combine like terms on the left side of the equation:
(48xr - 39x) + 14 = 14
4. Simplify the equation further by combining the terms in parentheses:
48xr - 39x + 14 = 14
5. Subtract 14 from both sides of the equation to isolate the variables on the left side:
48xr - 39x = 0
Now, the equation is simplified to 48xr - 39x = 0.