Solve for x:

\[ x - (4x - 7) = 5x - (x + 21) \]

x − ( 4 x − 7 ) = 5 x − ( x + 21 ) ∣ o mi t t h e b r a c k e t s x − 4 x + 7 = 5 x − x − 21 − 3 x + 7 = 4 x − 21 ∣ s u b t r a c t 4 x − 7 x + 7 = − 21 ∣ s u b t r a c t 7 − 7 x = − 28 ∣ d i v i d e b y − 7 x = 4

Answered by luana | 2024-06-10

The **equivalent **value of the **expression **x - (4x - 7) = 5x - (x + 21) is x =
Given data:
To solve the **equation **x - (4x - 7) = 5x - (x + 21), we simplify the expressions and combine like terms to find the value of x.
Expanding the parentheses, we have:
x - 4x + 7 = 5x - x - 21
Combining like terms on both sides of the equation :
-3x + 7 = 4x - 21
Next, we want to isolate the variable x. To do this, we will move all terms involving x to one side of the equation and constants to the other side.
-7x = -28
Divide by -7 on both sides:
x = 4
Hence, the **solution **is x = 4
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Answered by psm22415 | 2024-06-17

The solution to the equation x − ( 4 x − 7 ) = 5 x − ( x + 21 ) is x = 4 . The problem is simplified by combining like terms and isolating the variable. The final result indicates the value of x that satisfies the equation.
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Answered by psm22415 | 2024-10-01