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How many solutions does the equation 4x + 8 = − 2 − 2 + 5x have?

Two
One
Zero
Infinitely many


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User Orepor
by
8.4k points

1 Answer

3 votes

The equation has:

one solution (x = 12)

Step-by-step explanation:

First, combine the like terms:


\sf{4x+8=-2-2+5x}


\sf{4x+8=-4+5x}

Subtract 5x from each side:


\sf{4x-5x+8=-4}

Subtract 8 from each side:


\sf{4x-5x=-4-8}

Simplify each side:


\sf{-x=-12}

Divide each side by -1


\sf{x=12}

Hence, the equation 4x + 8 = -2 - 2 + 5x has only one solution; that solution is x = 12.

User Jsmedmar
by
7.9k points

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