Reorder the terms:
(x+2x+3x)+(40-50)=15,002
Combine like terms:
x+2x+3x=6x
40-50=-10
6x-10=15,002
adds +10 both sides
6x-10+10=15,002+10
Combine like terms:
-10+10=0
15,002+10=15,012
6x=15,012
divide by 6 both sides
x=15,012/6
x=2,502
the answer is
x=2,502
case b)
we have that
X + (2x + 40) + (3x – 50) = 15,002
Reorder the terms:
X + (40 + 2x) + (3x + -50) = 15002
Remove parenthesis around (40 + 2x)
X + 40 + 2x + (3x + -50) = 15002
Reorder the terms:
X + 40 + 2x + (-50 + 3x) = 15002
Remove parenthesis around (-50 + 3x)
X + 40 + 2x + -50 + 3x = 15002
Reorder the terms:
40 + -50 + X + 2x + 3x = 15002
Combine like terms:
40 + -50 = -10
-10 + X + 2x + 3x = 15002
Combine like terms:
2x + 3x = 5x
-10 + X + 5x = 15002
Solving
-10 + X + 5x = 15002
Solving for variable 'X'
. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation.
-10 + X + 10 + 5x = 15002 + 10
Reorder the terms:
-10 + 10 + X + 5x = 15002 + 10
Combine like terms:
-10 + 10 = 0
0 + X + 5x = 15002 + 10
X + 5x = 15002 + 10
Combine like terms:
15002 + 10 = 15012
X + 5x = 15012
Add '-5x' to each side of the equation.
X + 5x + -5x = 15012 + -5x
Combine like terms:
5x + -5x = 0
X + 0 = 15012 + -5x
X = 15012 + -5x
Simplifying
X = 15012 + -5x
the answer is
X=15,012-5x
Answer:
Sample Response: First, combine like terms by combining the variables and constants. Then use properties of equality to isolate the variable and find the value for x.
Step-by-step explanation:
