Help in solving for x in equations?

I guess i could help you out.

1) - 4y - ( 5y + 6 ) = - 7y + 3
- 4y - 5y - 6 = - 7y + 3
2 y = - 9
y = - 4.5

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

3) 5( y - 2 ) = -2 ( 12 - 9y ) + y
5y - 10 = 18y - 24 + y
14y = 14
y = 1

4) 4x + 2x + 24 = 180 ( i presume this is the correct one and you typed it out wrongly? )
6x = 156
x = 26

5) ( 3x + 5 ) + ( x + 1 ) = 180
4x + 6 = 180
4x = 174
x = 43.5

6) 5 ( x - 2 ) - 14x = -3x - ( 5 - 4x )
5x - 10 - 14x = -3x - 5 + 4x
10 x = -5
x = - 0.5

7) x / 8 = 4 / 9
bringing 8 over,
x = 32 / 9

8) x / 3 = x + 1/4
bringing 3 over,
x = 3x + 3/4
2x = -3/4
x = -3/8

9) x / 32 = 2 / x
multiplying by x,
x² / 32 = 2
x² = 64
x = ±8

1)
-4y - (5y + 6) = -7y + 3
-4y - 5y - 6 = -7y + 3
-9y + 7y = 6 + 3
-2y = 9
y = 9/-2
y = -9/2 (-4.5)

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

3)
5(y - 2) = -2(12 - 9y) + y
5*y - 5*2 = -2*12 + 2*19y + y
5y - 10 = -24 + 38y + y
5y - 39y = -24 + 10
-34y = -14
y = -14/-34
y = 7/17

4)
4x + 3x + 24 + 180
= 7x + 204

5)
(3x + 5) + (x + 1) = 180
3x + 5 + x + 1 = 180
3x + x = 180 - 5 - 1
4x = 174
x = 174/4
x = 87/2 (43.5)

6)
5(x - 2) - 14x = -3x - (5 - 4x)
5*x - 5*2 - 14x = -3x - 5 + 4x
5x - 10 - 14x = -3x + 4x - 5
-9x - 10 = x - 5
-9x - x = 10 - 5
-10x = 5
x = 5/-10
x = -1/2 (-0.5)

7)
x/8 = 4/9
x = 8(4/9)
x = 32/9

8)
x/3 = (x + 1)/4
x = 3(x + 1)/4
4x = 3x + 3
4x - 3x = 3
x = 3

9)
x/32 = 2/x
x = 32(2/x)
x = 64/x
x^2 = 64
x = ±√64
x = ±8

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1) -4.5
2) -6
3) -1
4) your equation seems to lack something
5) 11.25
6) -0.5
7) 3.55
8) -0.375
9) 8

1)

-4y=7y+3+5y+6
-4y-12y=9
-16y=9

y= -9/16
are you sure you wrote no.1 down properly?

2)

4-4x+3x= -2x-2
4-x=-2x-2
4+x=-2
x=-6

3)

5y-10=-24+18y+y

14=14y

y=1


7)

x= 32/9

8)

x=3(x+1/4)
x=3x+3/4
-2x=3/4
x= -3/8

9)

(x.x)/32=2

x.x=64

x=8


thats the last time i help some lazy kid with homework

1) -4y - 5y - 6 = -7y + 3
-4y - 5y + 7y = 3 + 6
-2y = 9
y = -4.5 (or -9/2)

2) 4 - 4x + 3x = -2x -2
-4x + 3x + 2x = -2 - 4
x = -6

3) 5y - 10 = -24 + 18y + y
-12y = -14
y = 14/12

5) 3x + 5 + x + 1 = 180
4x = 174
x = 43.5 (or 87/2)

6) 5x - 10 - 14x = -3x - 5 + 4x
-10x = 5
x = -0.5 (or -1/2)

7) x/8 * 8/1 = 4/9 * 8/1
x = 32/9

9) x/32 * 32/1 = 2/x * 32/1
x = 64/x
x * x/1 = 64/x * x/1
2x = 64
x = 32

For the first 6 equations, expand the equations and collect all the x (or y) terms on the left side of the "=" sign and all the number values on the right, having a care to change sign as you cross the "=". Add up the x coefficients and then divide that into the sum of the number values. Example;

(3) 5(y-2) =-2(12-9y)+y

5y - 10 = -24 +18y +y

-14y = -14

y= 1

For equations (7)-(9), multiply across by the least common denominator and proceed as above. Example:

8) x/3= x+1/4.........LCD is 12

4x = 12x + 3

-8x = 3

x = -3/8

I'm sure you can do them correctly.

7. x/8 = 4/9
x/8 x 8/1 = 4/9 x 8/1
x = 32/9
x = 3 5/9

1) 5
2) 9
3) 4
5) 2
6) 8
7) 4
8) 5
9) 2