Question

Решите уравнение 5 класс1)(39+х)-84=78,2)(600-х)-92=126,3)253-(х-459)=138,6)871-(х+157)=385

Answer 1

1) (39+х)-84=78
39+х=78+84
39+х=162
х=162-39
х=123

2) (600-х)-92=126
600-х=126+92
600-х=218
х=600-218
х=382

3) 253-(х-459)=138
х-459=253-138
х-459=115
х=459+115
х=574

4) 871-(х+157)=385
х+157=871-385
х+157=486
х=486-157
х=329

Answer 2

1. (39 + x) - 84 = 78

Let's solve the equation step by step:

First, simplify the expression within the parentheses: 39 + x - 84 = 78

Combine like terms: x - 45 = 78

Next, isolate the variable x by adding 45 to both sides of the equation: x - 45 + 45 = 78 + 45

Simplify: x = 123

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

2. (600 - x) - 92 = 126

Let's solve the equation step by step:

First, simplify the expression within the parentheses: 600 - x - 92 = 126

Combine like terms:

• x + 508 = 126

Next, isolate the variable x by subtracting 508 from both sides of the equation:

• x + 508 - 508 = 126 - 508

Simplify:

• x = -382

To isolate x, we multiply both sides of the equation by -1 (to change the sign of the coefficient): -1 * -x = -1 * -382

Simplify: x = 382

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

3. 253 - (x - 459) = 138

Let's solve the equation step by step:

First, simplify the expression within the parentheses: 253 - x + 459 = 138

Combine like terms: 253 + 459 - x = 138

Next, simplify the expression on the left side: 712 - x = 138

Isolate the variable x by subtracting 712 from both sides of the equation:

• x = 138 - 712

Simplify:

• x = -574

To isolate x, we multiply both sides of the equation by -1 (to change the sign of the coefficient): -1 * -x = -1 * -574

Simplify: x = 574

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

6. 871 - (x + 157) = 385

Let's solve the equation step by step:

First, simplify the expression within the parentheses: 871 - x - 157 = 385

Combine like terms:

• x + 714 = 385

Next, isolate the variable x by subtracting 714 from both sides of the equation:

• x + 714 - 714 = 385 - 714

Simplify:

• x = -329

To isolate x, we multiply both sides of the equation by -1 (to change the sign of the coefficient): -1 * -x = -1 * -329

Simplify: x = 329

Therefore, the solution to the equation is x = 329.