Задание 1. Найдите корень уравнения. 1) 2+3x=−7x-5; 2) 7+8x=-2x-5; 3) -7-2x=-6x+10; 4) -1-3x=2x+1; 5) 8-5(2x-3)=13-6x; 6) 1-7(4+2x)=-9-4x.

Решение:

1. \(2+3x = -7x - 5\)

\(3x + 7x = -5 - 2\)

\(10x = -7\)

\(x = -0.7\)

2. \(7+8x = -2x - 5\)

\(8x + 2x = -5 - 7\)

\(10x = -12\)

\(x = -1.2\)

3. \(-7-2x = -6x + 10\)

\(-2x + 6x = 10 + 7\)

\(4x = 17\)

\(x = 4.25\)

4. \(-1-3x = 2x + 1\)

\(-1 - 1 = 2x + 3x\)

\(-2 = 5x\)

\(x = -0.4\)

5. \(8-5(2x-3) = 13-6x\)

\(8 - 10x + 15 = 13 - 6x\)

\(23 - 10x = 13 - 6x\)

\(23 - 13 = -6x + 10x\)

\(10 = 4x\)

\(x = 2.5\)

6. \(1-7(4+2x) = -9-4x\)

\(1 - 28 - 14x = -9 - 4x\)

\(-27 - 14x = -9 - 4x\)

\(-27 + 9 = -4x + 14x\)

\(-18 = 10x\)

\(x = -1.8\)

Ответ: 1) -0.7; 2) -1.2; 3) 4.25; 4) -0.4; 5) 2.5; 6) -1.8.