1) (376-x) + 24 = 123 First, simplify the left side by combining like terms: 376 - x + 24 = 123 400 - x = 123 Next, isolate x by subtracting 400 from both sides: -x = 123 - 400 -x = -277 Finally, divide by -1 to solve for x: x = 277
2) 484 - (44 - (37-x)) = 5 First, simplify the inner parentheses: 484 - (44 - 37 + x) = 5 484 - (7 + x) = 5 Next, distribute the negative sign: 484 - 7 - x = 5 477 - x = 5 Isolate x by subtracting 477 from both sides: -x = 5 - 477 -x = -472 Finally, divide by -1 to solve for x: x = 472
Therefore, the solutions are: 1) x = 277 2) x = 472
Let's solve the equations one at a time:
1) (376-x) + 24 = 123
First, simplify the left side by combining like terms:
376 - x + 24 = 123
400 - x = 123
Next, isolate x by subtracting 400 from both sides:
-x = 123 - 400
-x = -277
Finally, divide by -1 to solve for x:
x = 277
2) 484 - (44 - (37-x)) = 5
First, simplify the inner parentheses:
484 - (44 - 37 + x) = 5
484 - (7 + x) = 5
Next, distribute the negative sign:
484 - 7 - x = 5
477 - x = 5
Isolate x by subtracting 477 from both sides:
-x = 5 - 477
-x = -472
Finally, divide by -1 to solve for x:
x = 472
Therefore, the solutions are:
1) x = 277
2) x = 472