What do I do with these 2 equations?

Question

Alright the first equation is this:

-(x-1)+4x = -5

What do I do with the minus sign times the x?

The second one is:

4+6x=12

It equals a decimal, but you can't have a decimal, so how do I make the answer a fraction?

Please help!

Answer 1

First Equation:

1. Expand the brackets; remember that (- x + = -) and (- x - = +). The x really has a +1 in front of it, we just don't bother to write that.

-x + 1 + 4x = 5

2. Group them.

3x = 4

3. Solve.

x = 4 / 3

Equation Two:

1. Group the terms.

6x = 8

2. Remember that a fraction is simply a division sum..

x = 8 / 6

3. Cancel it down.

x = 4 / 3.

Answer 2

1st equation: -(x-1)+4x = -5, using the distributive property, -(x-1) turns into -x+1 because a negative times a positive x is negative x while a negative times a negative 1 is a positive 1.  After that your equation is

-x+1+4x=-5, so, combine like terms, which would be 3x+1=-5, subtract the one on both sides which would be, 3x=-6, and your answer would be, x=-2

2nd equation: 4+6x=12, subtract 4 which would be, 6x=8, and then divide the 6 which would mean x=8/6 or 1.3...

Answer 3

-(x-1)+4x = -5  Multiply though by the (-)

-x+1+4x = - 5

3x = - 6

x= -2

4+6x=12

6x = 8

x = 8/6 = 4/3

Answer 4

1. -(x-1)+4x=-5

> -x+1+4x=-5

> 3x+1=-5

> 3x=-6

> x=-2

minus times x is -x  because minus can be considered as -1

so -1 times x is -1x , which is -x

2. 4+6x=12

> 6x=8

> x = 4/3

Answer 5

-(x-1)+4x = -5

This equationn is meant to teach us

that a minus sign in front of a parenthesis

changes all the terms inside

-x +1 + 4x = -5

add variables and transfer integer

(subratact 1)

3x = -6

x = -2

4 + 6x = 12

We need to solve for x

Subtr. 4

6x = 8

x = 8/6

x = 4/3