Question

Describe the steps used to find the value of x in the equation x + (2x + 40) + (3x – 50) = 15,002.

Answer 1

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.

Explanation:

Answer 2

case a)
we have that
x + (2x + 40) + (3x – 50) = 15,002
Reorder the terms:
(x+2x+3x)+(40-50)=15,002Combine like terms:
x+2x+3x=6x40-50=-106x-10=15,002
adds +10 both sides6x-10+10=15,002+10Combine like terms:
-10+10=015,002+10=15,0126x=15,012
divide by 6 both sides
x=15,012/6x=2,502the 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 isX=15,012-5x