Question

(x-83)+316=425 (600-x)-92=126 253-(x-459)=138 502-(217-x)=421 871-(x+157)=385

Answer 1

(х - 83) + 316 = 425

х - 83 = 425 - 316

х - 83 = 109

х = 109 + 83

х = 192

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(600 - х) - 92 = 126

600 - х = 126 + 92

600 - х = 218

х = 600 - 218

х = 382

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253 - (х - 459) = 138

х - 459 = 253 - 138

х - 459 = 115

х = 115 + 459

х = 574

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502 - (217 - х) = 421

217 - х = 502 - 421

217 - х = 81

х = 217 - 81

х = 136

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871 - (х + 157) = 385

х + 157 = 871 - 385

х + 157 = 486

х = 486 - 157

х = 329

Answer 2

To solve each equation, we'll isolate the variable 'x' by performing the necessary operations step by step. Let's solve each equation one by one:

1. (x - 83) + 316 = 425

First, combine like terms on the left side: x - 83 + 316 = x + 233

Now, equate the expression to the right side: x + 233 = 425

Next, isolate 'x' on one side of the equation by subtracting 233 from both sides: x = 425 - 233 x = 192

So the solution for the first equation is x = 192.

2. (600 - x) - 92 = 126

First, combine like terms on the left side: 600 - x - 92 = 508 - x

Now, equate the expression to the right side: 508 - x = 126

Next, isolate 'x' on one side of the equation by subtracting 508 from both sides: -x = 126 - 508 -x = -382

To solve for 'x', multiply both sides by -1: x = 382

So the solution for the second equation is x = 382.

3. 253 - (x - 459) = 138

First, distribute the negative sign on the left side: 253 - x + 459 = 138

Now, combine like terms on the left side: 712 - x = 138

Next, isolate 'x' on one side of the equation by subtracting 712 from both sides: -x = 138 - 712 -x = -574

To solve for 'x', multiply both sides by -1: x = 574

So the solution for the third equation is x = 574.

4. 502 - (217 - x) = 421

First, distribute the negative sign on the left side: 502 - 217 + x = 421

Now, combine like terms on the left side: 285 + x = 421

Next, isolate 'x' on one side of the equation by subtracting 285 from both sides: x = 421 - 285 x = 136

So the solution for the fourth equation is x = 136.

5. 871 - (x + 157) = 385

First, distribute the negative sign on the left side: 871 - x - 157 = 385

Now, combine like terms on the left side: 714 - x = 385

Next, isolate 'x' on one side of the equation by subtracting 714 from both sides: -x = 385 - 714 -x = -329

To solve for 'x', multiply both sides by -1: x = 329

So the solution for the fifth equation is x = 329.

Final solutions:

1. x = 192
2. x = 382
3. x = 574
4. x = 136
5. x = 329