Is –4 a solution to the equation 7x – 5 + 3x = 6 + x – 10?

Answer 1

10x - 5 = x - 4
9x = 1
x = 1/9
Thus x = - 4 is not a solution.

Answer 2

Test -4 as an answer by putting it everywhere there is an 'x' and then simplify to see if the 2 sides are equal

7*(-4) - 5 + 3*(-4) = -28 - 5 - 12 = -45

6 + (-4) - 10 = 6 - 4 - 10 = -8

and -45 does not equal -8, so x cannot be -4 here.

Answer 3

no, it isn't, substitute the -4 throughout and you will see...

7(-4) -5 + 3 (-4) = 6 + (-4) -10
-28 -5 + -12 = 6 -14
-33+ -12 = -8
-45 = -8 untrue

... or you could solve for x yourself

7x - 5 + 3x = 6 + x - 10
10x -5 = x - 4 ( combine like terms)
9x-5 = -4 ( subtract the x on the right from both sides)
9x = 1 (add 5 to both sides)
x = 1/9 ( divide both sides by 9)

Answer 4

7x - 5 + 3x = 6 + x - 10
10x - 5 = x - 4
9x = 1
x = 1/9

no.

although, strictly speaking, you test a possible solution by plugging it in to see if it makes the equation true:

7(-4) - 5 + 3(-4) = 6 + (-4) - 10
...... -28 - 5 - 12 = 6 - 14
.................. -45 = -8
........................no

Answer 5

You first need to combine like terms....

7x - 5 +3x = 6 + x -10
10x - 5 = x - 4

Move all x's to one side by subtracting x

9x - 5 = -4

Move -5 to the right hand side

9x = 1

Divide by 9

x = 1/9

So, no, -4 is not a solution.

Answer 6

x=1/9

Answer 7

7x-5+3x=6+x-10
7x+3x-x=5+6-10
9x=-1
x= -1/9

Answer 8

10x-5=x-4
9x=1
x=1/9

Answer 9

7*(-4) - 5 +3*(-4) = -35.
6 -4 -10 = -8.
answer is NO

Answer 10

A clever way to get your homework done for you :)