Question

1)-2х+3=3х+8; 2)3(х+1)=5(х+1)+4

Answer 1

-2х+3=3х+8
-2х+3=11х
-1х=11х
-1х × 11 х
Х=-11

Answer 2

1)-2х+3=3х+8
-2х-3х=8-3
-5х=5
х=-1
2)3(х+1)=5(х+1)+4
3х+3=5х+5+4
3х-5х=5+4-3
-2х=6
х=-3

Answer 3

Let's solve the two equations step by step:

1. -2x + 3 = 3x + 8

First, let's gather all the x terms on one side of the equation and the constant terms on the other side.

Subtract 3x from both sides: -2x - 3x + 3 = 3x - 3x + 8

Simplify: -5x + 3 = 8

Now, subtract 3 from both sides to isolate the term with -5x: -5x + 3 - 3 = 8 - 3

Simplify: -5x = 5

Next, divide both sides by -5 to solve for x: (-5x) / -5 = 5 / -5

Simplify: x = -1

So the solution to the first equation is x = -1.

2. 3(x + 1) = 5(x + 1) + 4

Expand the parentheses on both sides of the equation:

3x + 3 = 5x + 5 + 4

Combine the constant terms on the right side:

3x + 3 = 5x + 9

Now, let's isolate the x term on one side and the constant term on the other side:

Subtract 3x from both sides: 3x - 3x + 3 = 5x - 3x + 9

Simplify: 3 = 2x + 9

Next, subtract 9 from both sides to isolate the term with 2x:

3 - 9 = 2x + 9 - 9

Simplify: -6 = 2x

Finally, divide both sides by 2 to find the value of x:

(-6) / 2 = 2x / 2

Simplify: x = -3

So the solution to the second equation is x = -3.

Therefore, the solutions to the given equations are:

1. x = -1
2. x = -3