What is the solution to this equation 5x -8(x + 5)= 6-3x

Mathematics

1 answer:

Solnce55 [7]3 years ago

8 0

Answer:

no solution

Step-by-step explanation:

5x - 8(x + 5) = 6 - 3x

Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.

First, distribute -8 to all terms within the parenthesis

-8(x + 5) = (-8)(x) + (-8)(5) = -8x - 40

5x - 8x - 40 = 6 - 3x

Isolate the variable (x). Add 3x & 40 to both sides

5x - 8x (+3x) - 40 (+40) = 6 (+40) - 3x (+3x)

5x - 8x + 3x = 6 + 40

Simplify. Combine like terms

(5x - 8x + 3x) = (6 + 40)

0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer

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