1. Линейные уравнения. 1) 6x + 18 = 0; 2) 5x − 3 = 0; 3) 27 − 9x = 0; 4) −2x − 3 = 1; 5) −4x + 4 = −6; 6) −5x + 8 = −2; 7) 9x − 5 = 10x; 8) 6x = x − 2; 9) 4x + 5 = −4x; 10) 6 + 3x = 4x − 1; 11) −1 + 2x = 10x + 3; 12) −6x + 4 = 5x − 18; 13) 2(x − 7) = 3; 14) 3 = 4(x + 2); 15) 3(x − 4) = 6; 16) 2(7 + 9x) = −6x + 2; 17) 6(5 − 3x) = −8x − 7; 18) 9 + 2(2x + 1) = 1; 19) −7 + 2(7x − 2) = 10; 20) −3x + 4 = −10 + 5(−7 − x); 21) 6x − 8(−7 + 9x) = −2x − 8.

Переносим слагаемые с неизвестным в одну часть, известные — в другую, затем делим на коэффициент при x.

1. \(6x+18=0\) → \(6x=-18\) → x = −3.
2. \(5x-3=0\) → \(5x=3\) → x = 3/5.
3. \(27-9x=0\) → \(-9x=-27\) → x = 3.
4. \(-2x-3=1\) → \(-2x=4\) → x = −2.
5. \(-4x+4=-6\) → \(-4x=-10\) → x = 5/2.
6. \(-5x+8=-2\) → \(-5x=-10\) → x = 2.
7. \(9x-5=10x\) → \(-5=x\) → x = −5.
8. \(6x=x-2\) → \(5x=-2\) → x = −2/5.
9. \(4x+5=-4x\) → \(8x=-5\) → x = −5/8.
10. \(6+3x=4x-1\) → \(x=7\) → x = 7.
11. \(-1+2x=10x+3\) → \(-4=8x\) → x = −1/2.
12. \(-6x+4=5x-18\) → \(22=11x\) → x = 2.
13. \(2(x-7)=3\) → \(x-7=3/2\) → x = 17/2.
14. \(3=4(x+2)\) → \(x+2=3/4\) → x = −5/4.
15. \(3(x-4)=6\) → \(x-4=2\) → x = 6.
16. \(2(7+9x)=-6x+2\) → \(14+18x=-6x+2\) → \(24x=-12\) → x = −1/2.
17. \(6(5-3x)=-8x-7\) → \(30-18x=-8x-7\) → \(37=10x\) → x = 37/10.
18. \(9+2(2x+1)=1\) → \(11+4x=1\) → x = −5/2.
19. \(-7+2(7x-2)=10\) → \(14x-11=10\) → \(14x=21\) → x = 3/2.
20. \(-3x+4=-10+5(-7-x)\) → \(-3x+4=-45-5x\) → \(2x=-49\) → x = −49/2.
21. \(6x-8(-7+9x)=-2x-8\) → \(6x+56-72x=-2x-8\) → \(64x=64\) → x = 1.