1) 2 (x+3) + 3 (5-x) =

2) 3 (y+2) - 4y=-24y

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

4) - x? + 5x + x2=1

What the answer

Below

Step-by-step explanation:

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

Simplifying

2 (x + 3) + 3 (5 + - 1x) = 0

Reorder the terms:

2 (3 + x) + 3 (5 + - 1x) = 0

(3 * 2 + x * 2) + 3 (5 + - 1x) = 0

(6 + 2x) + 3 (5 + - 1x) = 0

6 + 2x + (5 * 3 + - 1x * 3) = 0

6 + 2x + (15 + - 3x) = 0

Reorder the terms:

6 + 15 + 2x + - 3x = 0

Combine like terms: 6 + 15 = 21

21 + 2x + - 3x = 0

Combine like terms: 2x + - 3x = - 1x

21 + - 1x = 0

Solving

21 + - 1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + - 21 + - 1x = 0 + - 21

Combine like terms: 21 + - 21 = 0

0 + - 1x = 0 + - 21

-1x = 0 + - 21

Combine like terms: 0 + - 21 = - 21

-1x = - 21

Divide each side by '-1'.

x = 21

Simplifying

x = 21

2. 3 (y+2) - 4y=-24y

Simplifying

3 (y + 2) + - 4y = - 24y

Reorder the terms:

3 (2 + y) + - 4y = - 24y

(2 * 3 + y * 3) + - 4y = - 24y

(6 + 3y) + - 4y = - 24y

Combine like terms: 3y + - 4y = - 1y

6 + - 1y = - 24y

Solving

6 + - 1y = - 24y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '24y' to each side of the equation.

6 + - 1y + 24y = - 24y + 24y

Combine like terms: - 1y + 24y = 23y

6 + 23y = - 24y + 24y

Combine like terms: - 24y + 24y = 0

6 + 23y = 0

Add '-6' to each side of the equation.

6 + - 6 + 23y = 0 + - 6

Combine like terms: 6 + - 6 = 0

0 + 23y = 0 + - 6

23y = 0 + - 6

Combine like terms: 0 + - 6 = - 6

23y = - 6

Divide each side by '23'.

y = - 0.2608695652

Simplifying

y = - 0.2608695652

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

Simplifying

-1 (x + 2) + - 2 (1 + - 1x) = 0

Reorder the terms:

-1 (2 + x) + - 2 (1 + - 1x) = 0

(2 * - 1 + x * - 1) + - 2 (1 + - 1x) = 0

(-2 + - 1x) + - 2 (1 + - 1x) = 0

-2 + - 1x + (1 * - 2 + - 1x * - 2) = 0

-2 + - 1x + (-2 + 2x) = 0

Reorder the terms:

-2 + - 2 + - 1x + 2x = 0

Combine like terms: - 2 + - 2 = - 4

-4 + - 1x + 2x = 0

Combine like terms: - 1x + 2x = 1x

-4 + 1x = 0

Solving

-4 + 1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 1x = 0 + 4

Combine like terms: - 4 + 4 = 0

0 + 1x = 0 + 4

1x = 0 + 4

Combine like terms: 0 + 4 = 4

1x = 4

Divide each side by '1'.

x = 4

Simplifying

x = 4

4. whats? is the equation