Question

Розв’яжіть рівняння: •1)-2(x-4)+6=3(2-x)+5 • 2) 4(x-3)+x=7x-8 • 3) 4(0,5+x)-6(x-1)=x-19​

Answer 1

1. –2(x–4)+6 = 3(2–x)+5
–2x+8+6 = 6–3x+5
–2x+14 = 11–3x
–2x+3x = 11–14
x = –3

2. 4(x–3)+x = 7x–8
4x–12+x = 7x–8
5x–12 = 7x–8
5x–7x = –8+12
–2x = 4
2x = –4
x = –4:2
x = –2

3. 4(0,5+x)–6(x–1) = x–19
2+4x–6x+6 = x–19
8–2x = x–19
–2x–x = –19–8
–3x = –27
3x = 27
x = 27:3
x = 9