4x + 5x + 12 = -6 (given)
9x + 12 = -6 (simplify)
9x = -18 (subtraction)
x = -2 (addition)
Which reason is incorrect?
3 answers
The given statement, "4x + 5x + 12 = -6," is incorrect. The correct expression should be "4x + 5x + 12 = -6x."
Justify Solution Steps
To justify the solution steps:
1. Given: The equation provided is 4x + 5x + 12 = -6.
2. Combine like terms: To simplify the equation, add the coefficients of the x terms. 4x + 5x can be combined to give 9x.
3. Add the constant terms: In the equation 9x + 12 = -6, combine the constants on both sides. Adding 12 to both sides gives 9x + 12 = -6.
4. Isolate the variable: To isolate the variable x, subtract 12 from both sides of the equation. This gives 9x = -18.
5. Solve for x: Divide both sides of the equation by 9 to solve for x. This gives x = -2.
Therefore, the solution steps are justified.
1. Given: The equation provided is 4x + 5x + 12 = -6.
2. Combine like terms: To simplify the equation, add the coefficients of the x terms. 4x + 5x can be combined to give 9x.
3. Add the constant terms: In the equation 9x + 12 = -6, combine the constants on both sides. Adding 12 to both sides gives 9x + 12 = -6.
4. Isolate the variable: To isolate the variable x, subtract 12 from both sides of the equation. This gives 9x = -18.
5. Solve for x: Divide both sides of the equation by 9 to solve for x. This gives x = -2.
Therefore, the solution steps are justified.
3 answers