Question

1 ) 4x-(x-3x+10)=-7x+16
2) (3x-7)-{+(8-3x)-(x+1)}=0
3) {3y+(5y-4)=4y-{-y-(-8+24)}
4) 6x-(3x-(x+10)-6}=x+{-3x+(-2x+8)}
5) 24 - 4(x+3)=2(10x-6)

Answer 1

1)
4x-(x-3x+10) = -7x+16
4x-x+3x-10 = -7x+16
6x-10 = -7x+16
6x+7x = 16+10
13x =26
x =26×13
x = 2

2)
(3x-7)-[+(8-3x)-(x+1)] = 0
3x-7-(8-3x-x-1) = 0
3x-7-8+3x+x+1 = 0
7x-14 = 0
7x = 14
x = 14÷7
x = 2

3)
3y+(5y-4) = 4y-[-y-(8+24)]
3y+5y-4 = 4y-(-y-8-24)
8y-4 = 4y+y+8+24
8y-4 = 5y+32
8y-5y = 32+4
3y = 36
y = 36÷3
y = 12

4)
6x-(3x-(x+10)-6) = x+[-3x+(-2x+8)]
6x-(3x-x-10-6) = x+(-3x-2x+8)
6x-3x+x+10+6 = x -3x-2x+8
4x+16 = -4x+8
4x+4x = 8-16
8x = -8
x = -8÷8
x = -1

5)
24-4(x+3) = 2(10x-6)
24-4x-12 = 20x-12
12-4x = 20x-12
-4x-20x = -12-12
-24x = -24
x = (-24)÷(-24)
x = 1

Te adjunto explicaciones de como resolver ecuaciones de este tipo, jerarquía de operaciones y ley de signos