(260-x)0,064=(26-x)

Solve for x in (260 - x) × 0.064 = (26 - x).

Method 1 (clear fractions):

• 0.064 = 8/125, so (260 - x)·(8/125) = 26 - x.
• Multiply by 125: 8(260 - x) = 125(26 - x)
• 2080 - 8x = 3250 - 125x
• 117x = 1170
• x = 10

Check: (260 - 10)·0.064 = 250·0.064 = 16; 26 - 10 = 16. OK.

Method 2 (expand decimals):

• 0.064·260 = 16.64, so 16.64 - 0.064x = 26 - x
• 0.936x = 9.36
• x = 9.36 / 0.936 = 10

Answer: x = 10.