complete solution to 12-|x| = 9 is
12-x = 9
-12frm both sides
-x/1 = -3/1 this what i get.
12 - x = 9
add x to both sides
12 = x + 9
subtract 9 from both sides
3 = x
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x can also be -3
because |-3| = 3
thank you damon :)
To find the complete solution to the equation 12-|x| = 9, we need to consider two cases:
Case 1: x ≥ 0
In this case, |x| = x. So we can rewrite the equation as:
12 - x = 9
To isolate x, we subtract 12 from both sides:
-x = 9 - 12
-x = -3
To solve for x, we multiply both sides by -1 (to eliminate the negative sign):
x = -3 * -1
x = 3
Case 2: x < 0
In this case, |x| = -x. So we can rewrite the equation as:
12 - (-x) = 9
Simplifying the equation:
12 + x = 9
To isolate x, we subtract 12 from both sides:
x = 9 - 12
x = -3
Therefore, we have two possible solutions: x = 3 and x = -3.