# Linear(Simple) Equations: Difficult Problems with Solutions

Problem 1
Solve the equation 8+2(x-4)=16.
Problem 2
Solve the equation 3(n+15)=30+6n.
Problem 3
Solve the equation: $$\frac{x}{3}+10=2x$$.
Problem 4
Solve the linear equation $$\frac{3x}{5}-2=\frac{2x}{5}$$.
Problem 5
Solve the equation $$\frac{x}{2}+\frac{x}{3}=10$$.
Problem 6
Solve the equation $$\frac{x+11}{x+6}=6$$.
Problem 7
If $$x+1+x+2+x+3+x-1+x-2+x-3=24$$, find x.
Problem 8
Find the solution x to the equation
$$x+2x+3x+4x=23780$$
Problem 9 sent by Dana Kandybaeva
12 – (4х – 18) = (36 + 4х) + (18 – 6х)
Problem 10
A number equals 5 times itself. What is the number?

Problem 11 sent by Arnav Tyagi
2(3x - 7) + 4(3x + 2) = 6(5x + 9)
Problem 12
Solve the equation $$\frac{7x}{15}+\frac{8x}{15}=723$$
Problem 13
Solve the equation $$\frac{5x+1}{17}=3$$
Problem 14
Solve the linear equation $$\frac{x+1}{5}+\frac{x+2}{5}=17$$
Problem 15
Solve the equation $$\frac{x}{10}+\frac{x}{7}+\frac{x}{5}=\frac{31}{14}$$
Problem 16
Find the solution x to the equation $$\frac{x}{3}-\frac{x}{4}=2$$.
Problem 17
Find x if $$\frac{x+5}{2}+\frac{x+8}{4}=6$$
Problem 18
Solve the equation $$\frac{1}{7}x-\frac{4}{14}=\frac{5}{7}$$.
Problem 19
Find the solution y to the equation $$\frac{5y+4}{9}=2+\frac{2y+4}{6}$$.
Problem 20
Solve the equation $$\frac{2x+1}{x+1}=3$$
Problem 21 sent by Prashant Trivedi
Find the smallest root of the equation: $$x^2 - 4 = 0$$
Problem 22
A number, multiplied by 5, equals itself minus 48. Which is the number?

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