Question

Решите уравнение: 1) (39 + x ) - 84 = 78;2) (x - 83) + 316 = 425;3) (600 - x ) - 92 = 126;4) 253 - (х - 459) = 138;По действиям плз сделайте​

Answer 1

Вот подробное решение

Answer 2

1. (39 + x) - 84 = 78

First, let's simplify the equation by performing the addition inside the parentheses:

39 + x - 84 = 78

Next, let's combine like terms:

x - 45 = 78

To isolate the variable x, we can add 45 to both sides of the equation:

x - 45 + 45 = 78 + 45

This simplifies to:

x = 123

Therefore, the solution to the equation is x = 123.

2. (x - 83) + 316 = 425

First, let's simplify the equation by performing the addition inside the parentheses:

x - 83 + 316 = 425

Next, let's combine like terms:

x + 233 = 425

To isolate the variable x, we can subtract 233 from both sides of the equation:

x + 233 - 233 = 425 - 233

This simplifies to:

x = 192

Therefore, the solution to the equation is x = 192.

3. (600 - x) - 92 = 126

First, let's simplify the equation by performing the subtraction inside the parentheses:

600 - x - 92 = 126

Next, let's combine like terms:

508 - x = 126

To isolate the variable x, we can subtract 508 from both sides of the equation:

508 - x - 508 = 126 - 508

This simplifies to:

-x = -382

To solve for x, we can multiply both sides of the equation by -1 to change the sign:

(-1)(-x) = (-1)(-382)

This simplifies to:

x = 382

Therefore, the solution to the equation is x = 382.

4. 253 - (x - 459) = 138

To simplify the equation, let's first distribute the negative sign:

253 - x + 459 = 138

Next, let's combine like terms:

712 - x = 138

To isolate the variable x, we can subtract 712 from both sides of the equation:

712 - x - 712 = 138 - 712

This simplifies to:

-x = -574

To solve for x, we can multiply both sides of the equation by -1 to change the sign:

(-1)(-x) = (-1)(-574)

This simplifies to:

x = 574

Therefore, the solution to the equation is x = 574.