Solve the following equation. Show all work TRICKY!!!?

Question

Solve the following equation. Show all work.

4(7-2x)=-10x-2

Answer 1

28 - 8x = - 10x - 2
10x - 8x = - 2 - 28
2x = - 30
x = - 15

Answer 2

28 - 8x = -10x - 2
30 = -2x
-15 = x

Check:

4(7-2*(-15)) = -10(-15) - 2
4( 7+30) = 150 - 2
4(37) = 148
148 = 148

Answer 3

ok this is not tricky, you just need to simplify and move like terms to one side.

4(7-2x)=-10x-2---lets expand the left side
28-8x=-10x-2---now move the x-terms to the left and the other stuff to the right
2x=-30---now solve for x by dividing 4 into 30
x=-30/2---simplify
x=-15

Answer 4

First, factor it: (4 cos A - 3)(3 cos A + 2) = 0 So you know either 4 cos A - 3 = 0; 4 cos A = 3; cos A = 3/4 or 3 cos A + 2 = 0; 3 cos A = -2; cos A = -2/3 So do inverse cos 3/4 which gives a first quadrant angle. Subtract it from 360 to get a 4th quadrant angle since cos is positive there also. Then do inverse cos -2/3. It gives a second quadrant angle. Then convert it to third quadrant where cos is also negative (by subtracting it from 360).

Answer 5

28-8x=-10x-2

add 10x to each side: 28+2x=-2
subtract 28 from both sides: 2x=-30
divide each side by 2: x=-15

Answer 6

4(7-2x)=-10x-2
distribute: 4*7-4*2x=-10x-2
simplify: 28-8x=-10x-2
get rid of the negative 8x: +8x=+8x
___________
28=-2x-2
get rid of -2: +2= +2
__________
30=-2x
divide both sides by -2: __ ___
-2 -2

simplify: -15=x
so, x= -15

Answer 7

4(7-2x) = -10x-2
28 - 8x = -10x - 2
10x - 8x = -2 - 28
2x = -30
x = -15

HTH

Charles

Answer 8

28 - 8x = -10x -2
30 = -2x
x = -15

Answer 9

28-8x=-10x-2
28+2x=-2
2x=-30
2x/2=-30/2
x=-15