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In-s [12.5K]
3 years ago
5

Zuleika was solving 2(x - 3) - 9 = 3x - 9. Zuleika's first step resulted in 2(x - 3) = 3x

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

x=-6

Step-by-step explanation:

The given equation is

2(x-3)-9=3x-9

Step 1: Using addition property of equality, add 9 on both sides.

2(x-3)-9+9=3x-9+9

2(x-3)=3x

Step 2: Using distributive property, we get

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

2x-6=3x

Step 3: Using addition property of equality twice we get

2x-6+6=3x+6

2x=3x+6

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

-x=6

Step 4: Using multiplication property of equality, multiply both sides by -1.

(-x)(-1)=(6)(-1)

x=-6

Therefore, the solution of the given equation is x=-6.

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