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Solve the linear equations 1/4(x-5)+4=1/3(2x+7)-5/6
Question
Solve the linear equations
1/4(x-5)+4=1/3(2x+7)-5/6
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Mathematics
3 years
2021-09-05T12:28:17+00:00
2021-09-05T12:28:17+00:00 1 Answers
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Answer:
x = 3
Step-by-step explanation:
Given the linear equation :
1/4(x-5)+4=1/3(2x+7)-5/6
(x-5)/4 + 4 = (2x+7)/3 – 5/6
Take the lcm and sum
(x-5+16)/4 = (4x+14-5)/6
(x+11)/4 = (4x+9)/6
Cross multiply
6(x+11) = 4(4x+9)
6x + 66 = 16x + 36
Collect like terms
6x – 16x = 36 – 66
-10x = – 30
x = 30/10
x = 3