What is the solution of 5 + 3x + (30-x) × 2 equation

What is the solution of 5 + 3x + (30-x) × 2 equation

5+3X=(30-X)*2
X=11
5+3X+(30-X)*2=0
x=-65
5+3X＋30＊2－2X=65+X
How to apply the formula of changing bottom
What kind of numbers are used to change the bottom
Formula application: the function of logarithm change bottom formula is to change bottom, which is a common tool in logarithm identity deformation. Generally, it is changed to take 10 as the bottom
For example: log4 8 and log3 9
=lg8/lg4 • lg9/lg3
=3lg2/2lg2 • 2lg3/lg3
=3/2 • 2
=3
1-4x ^ 4 and 2x ^ 3 + X factorization, this is a fraction, the answer should have a common factor
1-4X^4=(1+2X^2)(1-2X^2)
2X^3+X=X(2X^2+1)
The common factor is 2x ^ 2 + 1
How to solve the equation 6x + 30 = 3x (30 + x)
6X+30=3X(30+X)
6x+30=90+3x
6x-3x=90-30
3x=60
x=20
6X+30=3X(30+X)
6X+30=90+3X
6X-3X=90-30
3X=60
X=20
There is no integer solution
6X+30=3X(30+X)；6X+30=90+3X；6X-3X=90-30；3X=60；X=20
The problem of the formula of changing bottom
Let k = loga B, then we have b = a ^ k, and the logarithm with C as the base on both sides has
LogC B = logC a ^ k = klogc A. if you divide logC a to the left, there is k = logC B / logC a
And K = loga B, so the formula is proved
Why is logC B / logC a equal to loga B
Because they're all equal to K
Factorization of fraction: 4x (X-2) / 12x (x + 2)
(x-2) / 3（x+2)
The solution of the equation is known as x = 2m?
The solution of 3x = 2m is x = 8,
∴24=2m
m=12
The proof process of the formula of changing bottom
Come on
The derivation process of the bottom formula: if there is log (a) (b) let a = n ^ x, B = n ^ y, then log (a) (b) = log (n ^ x) (n ^ y) according to the basic formula log (a) (m ^ n) = nloga (m) and the basic formula log (a ^ n) M = 1 / N × log (a) m, log (n ^ x) (n ^ y) = Y / X can be obtained by a = n ^ x, B = n ^ y
Use factorization to solve the following equation (5x-1) 2 = 3 (5x-1)
The answer is x = 1 / 5, x = 4 / 5
(5x-1)2-3(5x-1)=0
Well, something's wrong
OK?
x＝1/5
10x-2＝15x-3
5x＝1
x＝1/5
How to solve 3x + 30 = x-210
fast
3x+30=x-210
The right x moves to the left, the left 30 moves to the right - 3x-x = - 30-210
2x=-240
So x = - 120
2x=-240 x=-120
3X-210=X+30
Move the right side to the left, and the positive sign changes to the negative sign
3X-210-X-30=0
That is 2x-240 = 0
X=120
3x-x=-30-210
2x=-240
x=-120