Question

1)-x+17=0 2)13-2x=-1 3) 9-x=23+x 4) 7x+x=32 5) 5(x-7)=15 6) 8x-5x-15=-21 7) 16-7(x+1)=-5​

Answer 1

Ответ:

1) -x+17=0 =>-x=17 =>-x=17; 2) 13-2x= -1 => -2x = -14=>x=7; 3)9x=23+x => -x-x=23-9 => -2x=14 => x=7; 4) 7x+x=32 => 8x=32 => x=4;  5) 5(x-7)=15=> 5x-35=15 => 5x=15+35 => 5x=50 => x=10 6) 8x-5x-15= -21 => 3x= -21+15 => 3x= -6 => x= -2 7) 16-7(x+1)= -5 => 16-7x+7= -5 => -7x= -28 => x=4  

Answer 2

Sure, I'd be happy to help you solve these equations step by step:

1. -x + 17 = 0 Subtract 17 from both sides: -x = -17 Divide both sides by -1 (remember that dividing by a negative number flips the inequality): x = 17

2. 13 - 2x = -1 Subtract 13 from both sides: -2x = -14 Divide both sides by -2: x = 7

3. 9 - x = 23 + x Add x to both sides: 9 = 23 + 2x Subtract 23 from both sides: -14 = 2x Divide both sides by 2: x = -7

4. 7x + x = 32 Combine the x terms on the left side: 8x = 32 Divide both sides by 8: x = 4

5. 5(x - 7) = 15 Distribute the 5 on the left side: 5x - 35 = 15 Add 35 to both sides: 5x = 50 Divide both sides by 5: x = 10

6. 8x - 5x - 15 = -21 Combine the x terms on the left side: 3x - 15 = -21 Add 15 to both sides: 3x = -6 Divide both sides by 3: x = -2

7. 16 - 7(x + 1) = -5 Distribute the -7 on the left side: 16 - 7x - 7 = -5 Combine the constants on the left side: 9 - 7x = -5 Subtract 9 from both sides: -7x = -14 Divide both sides by -7: x = 2

So, the solutions for each equation are:

1. x = 17
2. x = 7
3. x = -7
4. x = 4
5. x = 10
6. x = -2
7. x = 2