Question

2/7(4x-5)=8-5/7(x-2)

Answer 1

2/7(4х-5)=8-5/7(х-2)
8/7х-10/7=8-5/7х+10/7
8/7х+5/7х=8+10/7+10/7
13/7х=8+20/7
13х=56+20
х=76:13
$x = 5 \frac{11}{13}$

Answer 2

To solve the equation, we'll first simplify both sides and then isolate the variable 'x'. Here's the step-by-step process:

Step 1: Distribute the terms on the right side and simplify where possible. Step 2: Combine like terms on each side. Step 3: Isolate 'x' on one side of the equation. Step 4: Solve for 'x'.

Let's get started:

1. Distribute and simplify the right side: 8 - (5/7)(x - 2) = 8 - (5x/7) + 10/7

2. Now our equation becomes: 2/7(4x - 5) = (5x/7) - 10/7

3. Distribute the 2/7 on the left side: (8x/7) - (10/7) = (5x/7) - 10/7

4. Move all the terms containing 'x' to one side and the constant terms to the other side: (8x/7) - (5x/7) = 10/7 - (10/7)

5. Combine like terms on each side: (8x - 5x)/7 = 0

6. Simplify further: 3x/7 = 0

7. To isolate 'x', multiply both sides by the reciprocal of 3/7, which is 7/3: x = 0 * (7/3)

8. Final result: x = 0

Therefore, the solution to the equation is x = 0.