4-3x=19+8x x+1=7-x 3x-(-3x+4)=-x-12-3x 4(0,5x+4)=8(4+x)

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Let's solve each of these equations one at a time:

1) 4-3x = 19+8x
Combine like terms:
4 - 3x = 19 + 8x
-3x - 8x = 19 - 4
-11x = 15
x = -15/11

2) x+1 = 7-x
Combine like terms:
x + x = 7 - 1
2x = 6
x = 3

3) 3x - (-3x + 4) = -x - 12 - 3x
Simplify both sides:
3x + 3x - 4 = - x - 12 - 3x
6x - 4 = -x - 12 - 3x
6x - x + 3x = -12 + 4
8x = -8
x = -1

4) 4(0.5x + 4) = 8(4 + x)
Simplify both sides:
2x + 16 = 32 + 8x
-6x = 16
x = -16/6
x = -8/3