How to do 18-2 (3-4x) = 10x

How to do 18-2 (3-4x) = 10x

18-2(3-4x)=10x
18-6+8x=10x
12+8x=10x
10x-8x=12
2x=12
x=6
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It is known that the solution of the system of equations x + y = 5,2x + y = 8 is also the solution of equation 4x + y + k = 0, and K is obtained

From (1) to (2)
x=5-y ④
Substituting 4 into 2, we get
2（5-y）+y=8
10-2y+y=8
-y=-2
y=2
By substituting y = 2 into 1, we get
x+2=5
x=3
Substituting x = 3 and y = 2 into 3, we get
3×4+2+k=0
14+k=0
k=-14

It is known that the solution of the system of equations 2x − y = 5kx + y = k about X, y is also the solution of the equation 4x-y = - 9, and the value of K is obtained

To solve the equations 2x − y = 5kx + y = k about X and y, we get x = 2K, y = - K. substituting x = 2K, y = - K into 4x-y = - 9, we get 4 × 2K - (- K) = - 9 and K = - 1

Xiaoming's grandmother brought a basket full of eggs, which can only hold about 55 eggs at most. Xiaoming counted three eggs, but left one, but he forgot how many times he lost, so he had to count again. He counted five eggs, but left two, but he forgot how many times he lost. When she was ready to count again, her mother said with a smile, "don't count, there are 52 in total." Xiaoming was very surprised, but her mother didn't answer with a smile, Later, he solved the problem with equation knowledge. Do you know how Xiao Ming solved it?

3x+1