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It looks like the document you've shared contains a series of algebraic equations that need to be solved, presented in Hebrew. Here's the list of equations from the image, with the task to solve them:

1) \( 2x + 150 = 32x \)
2) \( -x + 10 = 3x \)
3) \( -2x - 28 = 5x \)
4) \( 4x - 6x = 4(x - 3) \)
5) \( x - (2x + 4) = 4x + 6 \)
6) \( 5(2x + 4) = 6(3x + 2) \)
7) \( 15x - 9(13 + x) = -6(21 - 2x) \)

Let me solve these equations step by step.

### 1) \( 2x + 150 = 32x \)
\[
2x + 150 = 32x
\]
Subtract \(2x\) from both sides:
\[
150 = 30x
\]
Divide both sides by 30:
\[
x = \frac{150}{30} = 5
\]

### 2) \( -x + 10 = 3x \)
\[
-x + 10 = 3x
\]
Add \(x\) to both sides:
\[
10 = 4x
\]
Divide both sides by 4:
\[
x = \frac{10}{4} = 2.5
\]

### 3) \( -2x - 28 = 5x \)
\[
-2x - 28 = 5x
\]
Add \(2x\) to both sides:
\[
-28 = 7x
\]
Divide both sides by 7:
\[
x = \frac{-28}{7} = -4
\]

### 4) \( 4x - 6x = 4(x - 3) \)
\[
4x - 6x = 4(x - 3)
\]
Simplify both sides:
\[
-2x = 4x - 12
\]
Subtract \(4x\) from both sides:
\[
-6x = -12
\]
Divide both sides by \(-6\):
\[
x = \frac{-12}{-6} = 2
\]

### 5) \( x - (2x + 4) = 4x + 6 \)
\[
x - (2x + 4) = 4x + 6
\]
Distribute the minus sign:
\[
x - 2x - 4 = 4x + 6
\]
Simplify:
\[
-x - 4 = 4x + 6
\]
Add \(x\) to both sides:
\[
-4 = 5x + 6
\]
Subtract 6 from both sides:
\[
-10 = 5x
\]
Divide both sides by 5:
\[
x = \frac{-10}{5} = -2
\]

### 6) \( 5(2x + 4) = 6(3x + 2) \)
Distribute on both sides:
\[
10x + 20 = 18x + 12
\]
Subtract \(10x\) from both sides:
\[
20 = 8x + 12
\]
Subtract 12 from both sides:
\[
8 = 8x
\]
Divide by 8:
\[
x = 1
\]

### 7) \( 15x - 9(13 + x) = -6(21 - 2x) \)
Distribute on both sides:
\[
15x - 9(13 + x) = -6(21 - 2x)
\]
Simplify:
\[
15x - 117 - 9x = -126 + 

Solve the following algebraic equations:
1) 2x + 150 = 32x
2) -x + 10 = 3x
3) -2x - 28 = 5x
4) 4x - 6x = 4(x - 3)
5) x - (2x + 4) = 4x + 6
6) 5(2x + 4) = 6(3x + 2)
7) 15x - 9(13 + x) = -6(21 - 2x)

Learn how to solve multiple linear equations with variables on both sides. This problem set includes 7 algebraic equations covering key algebraic concepts like the distributive property and equation simplification. Suitable for students in Grades 8-10.

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