This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Haya, tuendelee na swali hili la hesabu: Solve for x (x+6)/(4) + (x-3)/(5) = (5x-4)/(8) Step 1: Tafuta Kigawo Kidogo cha Pamoja (LCM) cha madhehebu (denominators) 4, 5, na 8. LCM(4, 5, 8) = 40. Step 2: Zidisha kila neno katika mlinganyo kwa LCM ili kuondoa madhehebu. 40 ((x+6)/(4)) + 40 ((x-3)/(5)) = 40 ((5x-4)/(8)) Step 3: Rahisisha kila neno. 10(x+6) + 8(x-3) = 5(5x-4) Step 4: Fungua mabano kwa kuzidisha. 10x + 60 + 8x - 24 = 25x - 20 Step 5: Unganisha maneno yanayofanana upande wa kushoto wa mlinganyo. (10x + 8x) + (60 - 24) = 25x - 20 18x + 36 = 25x - 20 Step 6: Peleka maneno yote yenye x upande mmoja na namba zisizo na x upande mwingine. Toa 18x kutoka pande zote mbili: 36 = 25x - 18x - 20 36 = 7x - 20 Ongeza 20 kwa pande zote mbili: 36 + 20 = 7x 56 = 7x Step 7: Gawanya pande zote mbili kwa 7 ili kupata thamani ya x. (56)/(7) = x x = 8 Thamani ya x ni: 8 Last free one today — make it count tomorrow, or type /upgrade for unlimited.