Solve for x.

\[ 2x - 10 = \frac{1}{3}(x - 9) \]

2 x − 10 = 3 1 ​ ( x − 9 ) 2 x − 10 = 3 1 ​ x − 3 ∣ A dd 10 2 x = 3 1 ​ x + 7 ∣ s u b t r a c t 3 1 ​ x 1 3 2 ​ x = 7 3 5 ​ x = 7 ∣ d i v i d e b y 3 5 ​ x = 7 ∗ 5 3 ​ x = 4 , 2 ​

Answered by luana | 2024-06-10

2 x − 10 = 3 1 ​ ( x − 9 ) 6 x − 30 = x − 9 5 x = 21 x = 5 21 ​

Answered by konrad509 | 2024-06-10

To solve the equation 2 x − 10 = 3 1 ​ ( x − 9 ) , we first distribute and simplify, leading to x = 4.2 . We verify this solution by substituting it back into the original equation, confirming both sides are equal. Thus, the solution is accepted as correct.
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Answered by luana | 2024-12-26