Question

1010.1) 5(x - 1) + 7 = 3(x + 1) + 1; 3) 3(3x + 5) - 4(3x - 5) = 0; 2) 2(x + 1) + 3 = 3(x - 1) + 6; 4) 7(5 - x) + 2 = 5(6 - x) + 1.L( 3) 3(3+2) - 19: 1 3) -507 - x) - 4(x - 8) = 3;ПЛИИИИИИИИИЗ ​

Answer 1

1)5(x-1)+7=3(3x+1)+1              

5x-5+7=9x+3+1

5x+2=9x+4

5x-9x=4-2

-4x=2

x=-1/2

x=-0.5

2)2(x+1)+3=3(x-1)+6

2x+2+3=3x-3+6

2x+5=3x+3

2x-3x=3-5

-x=-2

x=2

3)3(3x + 5) - 4(3x - 5) = 0

9x+15-12x+20=0

-3x+35=0

-3x=-35

x=35/3

4)7(5 - x) + 2 = 5(6 - x) + 1

35-7x+2=30-5x+1

37-7x=31-5x

-7x+5x=31-37

-2x=-6

x=3

Answer 2

Let's solve the given equations step by step:

1. $5(x - 1) + 7 = 3(x + 1) + 1$

Expand both sides:

$5x - 5 + 7 = 3x + 3 + 1$

Combine like terms:

$5x + 2 = 3x + 4$

Subtract $3x$ from both sides:

$5x - 3x + 2 = 4$

Simplify:

$2x + 2 = 4$

Subtract 2 from both sides:

$2x = 2$

Finally, divide both sides by 2 to solve for $x$:

$x = 1$

2. $3(3x + 5) - 4(3x - 5) = 0$

Expand both sides:

$9x + 15 - 12x + 20 = 0$

Combine like terms:

$-3x + 35 = 0$

Subtract 35 from both sides:

$-3x = -35$

Divide both sides by -3 to solve for $x$:

$x = \frac{-35}{-3} = \frac{35}{3}$

3. $2(x + 1) + 3 = 3(x - 1) + 6$

Expand both sides:

$2x + 2 + 3 = 3x - 3 + 6$

Combine like terms:

$2x + 5 = 3x + 3$

Subtract $2x$ from both sides:

$2x - 2x + 5 = 3$

Simplify:

$5 = 3$

The equation is inconsistent, which means there is no solution for $x$ that satisfies this equation.

4. $7(5 - x) + 2 = 5(6 - x) + 1$

Expand both sides:

$35 - 7x + 2 = 30 - 5x + 1$

Combine like terms:

$-7x + 37 = -5x + 31$

Subtract $-5x$ from both sides:

$-7x + 5x + 37 = 31$

Simplify:

$-2x + 37 = 31$

Subtract 37 from both sides:

$-2x = -6$

Divide both sides by -2 to solve for $x$:

$x = \frac{-6}{-2} = 3$

5. $3(3+2) - 19 \div 1 3) - (-507 - x) - 4(x - 8) = 3$

This equation appears to be incomplete and has missing parentheses or operations. Without proper formatting, it's difficult to solve.

If you can provide a correctly formatted version of the equation, I'd be happy to help you solve it.