Multiple choice

Solve the following equation: $\displaystyle \frac{2}{5}(x\, -\, 1) \, =\, 1\, -\, \displaystyle \frac{3}{5}{(3x\, -\, 5)}$

  1. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

2/5(x-1) = 1 - 3/5(3x-5). Multiply by 5: 2(x-1) = 5 - 3(3x-5) => 2x - 2 = 5 - 9x + 15 => 11x = 22 => x = 2.

AI explanation

Expanding both sides gives (2/5)x - 2/5 = 1 - (9/5)x + 3. Combining the constants on the right gives (2/5)x - 2/5 = 8/5 - (9/5)x. Adding (9/5)x and 2/5 to both sides results in (11/5)x = 10/5, so x = 2.

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