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Solve 3(x-6)+12=6((x+1)-3x for x. describe the number of solutions.

User Pwolaq
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1 Answer

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Answer: Let's solve the given equation step by step:

3(x - 6) + 12 = 6((x + 1) - 3x)

Distribute the constants inside the parentheses:

3x - 18 + 12 = 6(x + 1 - 3x)

Simplify each side of the equation:

3x - 6 = 6(x + 1 - 3x)

Distribute the 6 on the right side:

3x - 6 = 6x + 6 - 18x

Combine like terms:

3x - 6 = -12x + 6

Add 12x to both sides:

15x - 6 = 6

Add 6 to both sides:

15x = 12

Divide by 15:

x = 12 / 15

x = 4 / 5

So, the solution for the equation is x = 4/5.

Regarding the number of solutions, there is only one solution for this equation. The equation is linear and both sides are equal, so there is a single value of x that satisfies the equation. Therefore, it has exactly one solution.

User Ishwar Gagare
by
8.9k points

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