How do you solve -4x + 7= - 1( 2x - 3.5)4x+7=1(2x3.5)?

3 Answers
Jun 11, 2018

x=1.75

Explanation:

ok first ya wanna multiply -1(2x-3.5)1(2x3.5) which gets ya -2x+3.52x+3.5 (ya flipped the negatives to positives and vis versa) so at this point ya got -4x+7=-2x+3.54x+7=2x+3.5 then ya wanna subtract 7 on both sides getting you -4x=-2x-3.54x=2x3.5 then add 2x on both sides so ya get -2x=-3.52x=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)x=3.52 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

Jun 11, 2018

x = 1.75x=1.75

Explanation:

-4x + 7 = -1(2x - 3.5)4x+7=1(2x3.5)

Expand the right side by multiplying

-4x + 7 = -2x + 3.54x+7=2x+3.5

Move xx to the right side (add 4x4x to both sides)

7 -4x + 4x = -2x + 3.5 + 4x74x+4x=2x+3.5+4x

7 = 2x + 3.57=2x+3.5

Subtract 3.53.5 from both sides

7 - 3.5 = 2x + 3.5 - 3.573.5=2x+3.53.5

3.5 = 2x3.5=2x

Divide both sides by 22

(2x)/2 = 3.5/22x2=3.52

x = 1.75x=1.75

Jun 11, 2018

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=1(2x3.5)

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

-4x + 7 = -2x + 3.54x+7=2x+3.5

Next, add color(red)(4x)4x and subtract color(blue)(3.5)3.5 from each side of the equation to isolate the xx 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)4x+4x+73.5=2x+4x+3.53.5

0 + 3.5 = (-2 + color(red)(4))x + 00+3.5=(2+4)x+0

3.5 = 2x3.5=2x

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

3.5/color(red)(2) = (2x)/color(red)(2)3.52=2x2

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

1.75 = x

x = 1.75