To solve the equation we follow these steps:
12(4x−5)+52=10
i) subtract 52 from both sides:
12(4x−5)+52=10
12(4x−5)+52-52=10-52
12(4x−5)=-42
ii) divide both sides by 12:
(4x-5)=-42/12
4x-5= -3.5
iii) add 5 to both sides:
4x= 1.5
iv) divide both sides by 4
x=1.5 / 4 = 0.375
Answer: 0.375