Difficult

# Linear(Simple) Equations: Very Difficult Problems with Solutions

Problem 1
A number is equal to 7 times itself minus 18. Which is the number?
Problem 2
A number is equal to 4 times this number less 75. What is the number?
Problem 3
Two times a number, decreased by 12 equals three times the number, decreased by 15. Which is the number?
Problem 4
Twice a number equals 5 times the same number plus 18. Which is the number?
Problem 5
If a + b= 29 , b + c = 45, a + c = 44
Find a + b + c = ?
Problem 6
Solve the equation: $$(11x - 5)^2 - (10x - 1)^2 - (3x - 20)(7x + 10) = 124$$
Problem 7
$$x- \frac{1-\frac{3x}{2}}{4} = \frac{2-\frac{x}{4}}{3} - \frac{11}{12}$$
Difficult

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