Solve the equation:

\[ 3x + \frac{4}{5} = \frac{7}{10} \]

Can you explain how to solve it?

3 x + 5 4 ​ = 10 7 ​ 3 x = 10 7 ​ − 5 4 ​ 3 x = 10 7 ​ − 10 8 ​ 3 x = − 10 1 ​ / : 3 x = − 10 1 ​ ⋅ 3 1 ​ x = − 30 1 ​

5 3 x + 4 ​ = 10 7 ​ 10 ( 3 x + 4 ) = 5 ⋅ 7 30 x + 40 = 35 30 x = 35 − 40 30 x = − 5 / : 30 x = − 30 5 ​ x = − 6 1 ​

Answered by kate200468 | 2024-06-10

3 x + 5 4 ​ = 10 7 ​ ∣ − 5 4 ​ 3 x + 5 4 ​ − 5 4 ​ = 10 7 ​ − 5 4 ​ 3 x = 10 7 ​ − 10 8 ​ 3 x = − 10 1 ​ / ∗ 3 1 ​ x = − 30 1 ​
or 5 3 x + 4 ​ = 10 7 ​ / ∗ 10 2 ( 3 x + 4 ) = 7 6 x + 8 = 7 ∣ − 8
6 x + 8 − 8 = 7 − 8 6 x = − 1 / : 6 x = − 6 1 ​

Answered by Lilith | 2024-06-10

To solve the equation 3 x + 5 4 ​ = 10 7 ​ , first isolate x by subtracting 5 4 ​ from both sides and simplifying the fractions. Finally, divide by 3 to get x = − 30 1 ​ .
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Answered by kate200468 | 2024-12-20