Question

5/6x- 5 (4-5/6x) =11

Answer 1

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Answer 2

To solve the equation $\frac{5}{6}x - 5(4 - \frac{5}{6}x) = 11$, follow these steps:

Step 1: Distribute the -5 to the terms inside the parentheses: $\frac{5}{6}x - 5 \cdot 4 + 5 \cdot \frac{5}{6}x = 11$

Step 2: Simplify the equation by performing the multiplication: $\frac{5}{6}x - 20 + \frac{25}{6}x = 11$

Step 3: Combine the x terms on the left-hand side: $\frac{5}{6}x + \frac{25}{6}x = 11 + 20$

Step 4: Add the x terms together: $\frac{30}{6}x = 31$

Step 5: Simplify the left-hand side: $5x = 31$

Step 6: Isolate x by dividing both sides by 5: $x = \frac{31}{5}$

So the solution to the equation is $x = \frac{31}{5}$ or $x = 6.2$.