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:
2x+150=32x
−x+10=3x
−2x−28=5x
4x−6x=4(x−3)
x−(2x+4)=4x+6
5(2x+4)=6(3x+2)
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=30150=5
2) −x+10=3x
−x+10=3x
Add x to both sides:
10=4x
Divide both sides by 4:
x=410=2.5
3) −2x−28=5x
−2x−28=5x
Add 2x to both sides:
−28=7x
Divide both sides by 7:
x=7−28=−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=−6−12=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=5−10=−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 +
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Basic linear equation formulas Distributive property: a(b + c) = ab + ac