SOLUTION: Could you help me with a formulas to solve the following problems: -4x+2 =42 3+2x+6x=3 -18=x-6

Algebra ->  Expressions-with-variables -> SOLUTION: Could you help me with a formulas to solve the following problems: -4x+2 =42 3+2x+6x=3 -18=x-6      Log On


   



Question 41719: Could you help me with a formulas to solve the following problems:
-4x+2 =42
3+2x+6x=3
-18=x-6

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
This problem involves solving or isolating the "x". First try to combine all like-terms, than simplify. Next, use either addition or subtraction first to get rid of a term. Lastly, use division or multiplication to get rid of any remaining terms.
.
Be sure to check your answer in case the x value is incorrect.
-4x+2 =42
-4x + 2 - 2 = 42 - 2
-4x = 40
.
-4x/-4 =40/-4
.
x = -10
Check your answer by plugging x = -10 back into the orignal problem:
-4x+2 =42
-4(-10) + 2 = 42
40 + 2 = 42
42=42 the answer checks out.
.
.
3+2x+6x=3
Combine all like-terms
3+8x=3
3-3 + 8x = 3 - 3
8x = 0
.
8x/8 = 0/8
x = 0
Remember that zero divided by any number will equal zero. Example 0/4 = 0.
But you cannot DIVIDE by zero. Example: 8/0 = undefined.
.
Check your answer of x = 0
3+2(0)+6(0)=3
3 + 0 + 0 = 3
3=3 The answer checks out.
.
.
-18=x-6
-18 +6=x-6+6
-12 = x
Check your answer of -12 = x
-18=(-12)-6
-18 = -18 Checks out!