To solve the given equation, we need to follow these steps:
1. Distribute the terms on the left side of the equation:
92x + 2 * 12/17(x + 2) = 81
2. Simplify the expression on the left side:
92x + (24/17)(x + 2) = 81
92x + (24/17)x + (24/17)*2 = 81
92x + (24/17)x + 48/17 = 81
3. Combine like terms:
(92 + 24/17)x + 48/17 = 81
(1568/17 + 24/17)x + 48/17 = 81
(1592/17)x + 48/17 = 81
4. Move the constant term to the right side of the equation:
(1592/17)x = 81 - 48/17
(1592/17)x = (1383/17)
5. Solve for x by dividing both sides by (1592/17):
x = (1383/17) / (1592/17)
x = 1383/1592
Therefore, the solution to the equation is x = 1383/1592.
