Answer:
x = 0 (I must assume you had a typo since c is not a variable in this equation!
Step-by-step explanation:
Solve for x:
2 (x - 3) + 9 = 3 (x + 1) + x
2 (x - 3) = 2 x - 6:
2 x - 6 + 9 = 3 (x + 1) + x
Grouping like terms, 2 x - 6 + 9 = 2 x + (-6 + 9):
2 x + (-6 + 9) = 3 (x + 1) + x
9 - 6 = 3:
2 x + 3 = 3 (x + 1) + x
3 (x + 1) = 3 x + 3:
2 x + 3 = 3 x + 3 + x
Grouping like terms, 3 x + x + 3 = (3 x + x) + 3:
2 x + 3 = (3 x + x) + 3
3 x + x = 4 x:
2 x + 3 = 4 x + 3
Subtract 4 x from both sides:
(2 x - 4 x) + 3 = (4 x - 4 x) + 3
2 x - 4 x = -2 x:
-2 x + 3 = (4 x - 4 x) + 3
4 x - 4 x = 0:
3 - 2 x = 3
Subtract 3 from both sides:
(3 - 3) - 2 x = 3 - 3
3 - 3 = 0:
-2 x = 3 - 3
3 - 3 = 0:
-2 x = 0
Divide both sides of -2 x = 0 by -2:
(-2 x)/(-2) = 0/(-2)
(-2)/(-2) = 1:
x = 0/(-2)
0/(-2) = 0:
Answer: x = 0
Answer:
I am not sure if you mean x or c, but x would be equal to 0
Step-by-step Explanation:
Step 1: Simplify both sides of the equation.
2 (x - 3) + 9 = 3 (x + 1) + x
(2) (x) + (2) (- 3) + 9 = (3) (x) + (3) (1) + x
2x + - 6 + 9 = 3x + 3 + x
(2x) + (- 6 + 9) = (3x + x) + (3)
2x + 3 = 4x + 3
Step 2: Subtract 4x from both sides.
2x + 3 - 4x = 4x + 3 - 4x
- 2x + 3 = 3
Step 3: Subtract 3 from both sides.
- 2x + 3 - 3 = 3 - 3
- 2x = 0
Step 4: Divide both sides by - 2.
- 2x/- 2 = 0/- 2
x = 0
