Given the equation −2x − 13 = 8x + 7, which order of operations completely solves for x?
Given the equation −2x − 13 = 8x + 7, what is the correct order of operations to solve for x? Please provide a step-by-step explanation of the process used to arrive at the solution.
4 Answers
-2x - 13 = 8x + 7
add 2x to both sides:
-13 = 10x + 7
subtract 7 from both sides:
-20 = 10x
divide both sides by 10:
x = -20/10 = -2
Makes no difference which order the first two steps are done.
Jan 18, 2025
Add 13 to the right side. (-2x=8x+20).
Then, add 2x to the right side (10x+20 = 0). Then, subtract 20 (10x=-20.) Finally, divide by 10 to get x = -2.
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