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Math in the first grade. The solution of one-dimensional linear equation (1) is solved by experts.
1) 3-4x=2-x

Solution: For the shifted term, -4x+x=2-3.

Merge similar projects: -3x=- 1

The coefficient is 1, and x= 1/3.

(2) 0.2x+ 1=- 1.8x

Solution: Shift the term to get: 0.2x+ 1.8x=- 1.

Combining similar projects, we get 2x=- 1.

The coefficient is 1, and x=-?

(3) 1x = 9-2x。

Solution: multiply both sides by 3 at the same time, and remove the denominator:

x=27-2x

Transferred items: x+2x=27

Combining similar projects, we get 3x=27.

The coefficient is 1 and x=9.

(4) 3-2(m-3)=5m+ 1

Solution: Remove the brackets and get

3-2m+6=5m+ 1

Move items, get

-2m-5m= 1-3-6

Merge similar projects to obtain

-7m=-8

The coefficient becomes 1, and we get

m=8/7

(5)3(y- 10)-2(y+ 15)= 0

Solution: Without brackets:

3y-30-2y-30=0

Move items, get

3y-2y=30+30

Merge similar projects to obtain

y=60

(6)2(x-2)-(4x- 1)= 3( 1-x)

Solution: Remove the brackets and get

2x-4-4x+ 1=3-3x

Move items, get

2x-4x+3x=3+4- 1

Merge similar projects to obtain

x=6

Second,

(1) Given that three times the value of x is equal to x-6, find x (also as written above).

Solution: According to the meaning of the problem:

3x=x-6

Move the item and get: 3x-x=-6.

Combining similar projects, we get 2x=-6.

The coefficient is 1 and x=-3.

So x is -3.

(2) Given that y=-2 is the solution of the equation (y+m)-(my-3)=3y, find the value of m..

Solution: substitute y=-2 into the equation about Y (y+m)-(my-3)=3y.

Germany: (-2+m)-(-2m-3)=-6.

Without parentheses, you get:

-2+m+2m+3=-6

To move an item, you must:

m+2m=-6+2-3

Merge similar projects to obtain

3m=-7

The coefficient becomes 1, and we get

m=-7/3

Therefore, the value of m is -7/3.