Question

1) 8(x-1)=x+132) 2(x-3)=7(2+x)3) -4(x-2)=2x-44) (5x-4)-(2x-3)=8​

Answer 1

Ответ:

1.8(x-1)=x+13

 8x-8=x+13

 7x-8=13

 7x=21

 x=3

2.2(x-3)=7(2+x)

 2x-6=14+7x

 -5x=20

 x=-4

3.-4(x-2)=2x-4

 -4x+8=2x-4

 -6x=-12

 x=2

4.(5x-4)-(2x-3)=8

 5x-4-2x+3=8

 3x-1=8

 3x-9

 x=3

Answer 2

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

1. $8(x - 1) = x + 13$ Expand the left side of the equation: $8x - 8 = x + 13$ Subtract $x$ from both sides: $8x - x - 8 = 13$ Simplify: $7x - 8 = 13$ Add 8 to both sides: $7x = 21$ Divide by 7: $x = 3$

2. $2(x - 3) = 7(2 + x)$ Distribute on both sides: $2x - 6 = 14 + 7x$ Subtract $2x$ from both sides: $-6 = 14 + 5x$ Subtract 14 from both sides: $-20 = 5x$ Divide by 5: $x = -4$

3. $-4(x - 2) = 2x - 4$ Distribute on both sides: $-4x + 8 = 2x - 4$ Add $4x$ to both sides: $8 = 6x - 4$ Add 4 to both sides: $12 = 6x$ Divide by 6: $x = 2$

4. $(5x - 4) - (2x - 3) = 8$ Distribute the negative sign on the second term: $5x - 4 - 2x + 3 = 8$ Combine like terms: $3x - 1 = 8$ Add 1 to both sides: $3x = 9$ Divide by 3: $x = 3$

So, the solutions for the given equations are:

1. $x = 3$
2. $x = -4$
3. $x = 2$
4. $x = 3$