Please Can Any1 Help me with this Question given above
Answers
Answer:
16
Step-by-step explanation:
it is simple basic addition multiplication and substitution
Question:
If 17(x + 4) + 8 (x + 6) = 11 (x + 5) + 15 (x+3) find the value of x
Answer:
➩ 17 (x + 4) + 8 (x + 6) = 11 (x + 5) + 15 (x+3)
First simplify the equations on Both L.H.S ( left hand side ) and R.H.S ( right hand side )
➩ 17 × x + 17 × 4 + 8 × x + 8 × 6 = 11 × x + 11× 5 + 15 × x+ 15 × 3
➩ 17x + 68 + 8x + 48 = 11x + 55 + 15x + 45
Now, combine the like terms together
➩ 17x + 8x + 68 + 48 = 11x + 15x + 55 + 45
Add the like terms together
➩ 25x + 116 = 26x + 100
One method:
➩ 116 - 100 = 26x + 25x
➩ x = 16
Other method:
Now, subtract 116 from both the sides
➩ 25x + 116 - 116 = 26x + 100 - 116
➩ 25x = 26x -16
Now, subtract 26x from both the sides
➩ 25x - 26x = 26x - 16 - 26x
➩ - x = - 16
➩ x = 16
∴ the value of x = 16
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