Question

How do you solve `-4x + 7= - 1( 2x - 3.5)`?

Answer 1

x=1.75

Explanation:

ok first ya wanna multiply `-1(2x-3.5)` which gets ya `-2x+3.5` (ya flipped the negatives to positives and vis versa) so at this point ya got `-4x+7=-2x+3.5` then ya wanna subtract 7 on both sides getting you `-4x=-2x-3.5` then add 2x on both sides so ya get `-2x=-3.5` so then ya wanna get x by it self so you divide -2 on both sides canceling the -2 on the left leaving you with `x=(-3.5)/(-2)` which ya simplify down to 1.75

if ya need more clarification go to https://www.symbolab.com/solver/step-by-step/-4x%2B7%3D-1%5Cleft(2x-3.5%5Cright) which tells ya it step by step

Answer 2

`x = 1.75`

Explanation:

`-4x + 7 = -1(2x - 3.5)`

Expand the right side by multiplying

`-4x + 7 = -2x + 3.5`

Move `x` to the right side (add `4x` to both sides)

`7 -4x + 4x = -2x + 3.5 + 4x`

`7 = 2x + 3.5`

Subtract `3.5` from both sides

`7 - 3.5 = 2x + 3.5 - 3.5`

`3.5 = 2x`

Divide both sides by `2`

`(2x)/2 = 3.5/2`

`x = 1.75`

Answer 3

See a solution process below:

Explanation:

First, expand the terms in parenthesis on the right side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis.

`-4x + 7 = color(red)(-1)(2x - 3.5)`

`-4x + 7 = (color(red)(-1) xx 2x) + (color(red)(-1) xx -3.5)`

`-4x + 7 = -2x + 3.5`

Next, add `color(red)(4x)` and subtract `color(blue)(3.5)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-4x + color(red)(4x) + 7 - color(blue)(3.5) = -2x + color(red)(4x) + 3.5 - color(blue)(3.5)`

`0 + 3.5 = (-2 + color(red)(4))x + 0`

`3.5 = 2x`

Now, divide each side of the equation by `color(red)(2)` to solve for `x` while keeping the equation balanced:

`3.5/color(red)(2) = (2x)/color(red)(2)`

`1.75 = (color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2))`

`1.75 = x`

`x = 1.75`