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2 years ago

What is the solution to the following equation? -6(x-2) + 3x = -3(x + 3) + 21

Mathematics

2 answers:

NeX [460]2 years ago

4 0

9514 1404 393

Answer:

no solution

Step-by-step explanation:

Simplifying the given equation, you have ...

-6(x -2) +3x = -3(x +3) +21 . . . . . given

-6x +12 +3x = -3x -9 +21 . . . . . . eliminate parentheses

-3x +12 = -3x +13 . . . . . . . . . . . . collect terms

0 = 1 . . . . . . . . . . . . . add (3x-12) to both sides

There is no value of x that will make this true.

The equation has NO SOLUTION.

storchak [24]2 years ago

3 0

-6(x+2) + 3x = -3(x+3) + 21

-6x - 12 + 3x = -3x - 9 + 21

-3x - 12 = -3x + 12

-3x + 3x = 12 + 12

0 = 24

Sorry but this equation has no solution.
-3x + 3x = 0, x is cancelled out so we can’t find ‘x’.

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$\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}$

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