Question

3*(2x-1)+7=5*(x-1)+73,1*(1-3t)+t=0,4*(t-14)0,8*(0,5-2u)=2u+0,40,2*(x-3)-1=0,5*(x+3)-0,4-5*(z-7)=30-(2z+1)-2*(x+5)+3=2-3*(x+1)3*(2x-1)+6x=10x-74n-2*(n+7)=2n-2*(n-1)

Answer 1

1)3*(2x-1)+7=5*(x-1)+7
6х-3+7=5х-5+7
6х+4=5х+2
6х-5х=2-4
х=-2
2)3,1*(1-3t)+t=0,4*(t-14)
3,1-9,3t+t=0,4t-5,6
3,1-8,3t=0,4t-5,6
3,1+5,6=0,4t+8,3t
8,7=8,7t
t=1
3) 0,8*(0,5-2u)=2u+0,4
0,4-1,6u=2u+0,4
0,4-0,4=1,6u+2u
0=3,6u
u=0
4)0,2*(x-3)-1=0,5*(x+3)-0,4
0,2х-0,6-1=0,5х+1,5-0,4
 0,2х-1,6=0,5х+1,1
0,2х-0,5х=1,1+1,6
-0,3х=2,7
х=-9
5)-5*(z-7)=30-(2z+1)
-5z+35=30-2z-1
 -5z+35=29-2z
-5z+2z=29-35
-3z=-6
z=2
6)-2*(x+5)+3=2-3*(x+1)
-2х-10+3=2-3х-3
-2х-7=-1-3х
-2х+3х=-1+7
Х=6
7) 3*(2x-1)+6x=10x-7
6х-3+6х=10х-7
12х-3=10х-7
12х-10х=-7+3
2х=-4 х=-2
 8) 4n-2*(n+7)=2n-2*(n-1)
 4n-2n-14=2n-2n+2
2n-14=2
2n=2+14
 2n=16
 n=8

Answer 2

1) 3*(2x-1)+7=5*(x-1)+73 First, distribute the 3 and 5 on the left and right sides of the equation: 6x - 3 + 7 = 5x - 5 + 73 Combine like terms: 6x + 4 = 5x + 68 Subtract 5x from both sides: x + 4 = 68 Subtract 4 from both sides: x = 64

2) 1*(1-3t)+t=0 Distribute the 1 on the left side: 1 - 3t + t = 0 Combine like terms: 1 - 2t = 0 Subtract 1 from both sides: -2t = -1 Divide by -2: t = 1/2

3) 4*(t-14)=0 Distribute the 4: 4t - 56 = 0 Add 56 to both sides: 4t = 56 Divide by 4: t = 14

4) 0.8*(0.5-2u)=2u+0.4 Distribute the 0.8: 0.4 - 1.6u = 2u + 0.4 Add 1.6u to both sides: 0.4 = 3.6u + 0.4 Subtract 0.4 from both sides: 0 = 3.6u Divide by 3.6: u = 0

5) 0.2*(x-3)-1=0.5*(x+3)-0.4 Distribute the 0.2 and 0.5: 0.2x - 0.6 - 1 = 0.5x + 1.5 - 0.4 Combine like terms: 0.2x - 1.6 = 0.5x + 1.1 Subtract 0.2x from both sides: -1.6 = 0.3x + 1.1 Subtract 1.1 from both sides: -2.7 = 0.3x Divide by 0.3: x = -9

6) -5*(z-7)=30-(2z+1)-2*(x+5)+3=2-3*(x+1) Distribute the -5: -5z + 35 = 30 - 2z - 1 - 2x - 10 + 3 = 2 - 3x - 3 Combine like terms: -5z + 35 = -2z - 8 - 2x = -1 - 3x - 3 Subtract -2z - 2x - 3 from both sides: -5z + 35 + 2z + 2x + 3 = -8 = -1 - 3x Combine like terms: -3z + 38 + 2x = -8 = -3x Subtract 2x + 38 from both sides: -3z = -8 - 2x - 38 = -3x Combine like terms: -3z = -2x - 46 = -3x Divide by -3: z = (2/3)x + 46/3