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For what value of x would 3 (3x − 1)− 3 (5x − 3)= − (x + 6)?]

User Nathanbweb
by
8.0k points

2 Answers

6 votes

Answer:

x = 12/5

Explanation:

3 (3x − 1) − 3 (5x − 3) = − (x + 6)

9x − 3 − 15x + 9 = − x − 6

9x − 15x + x = 3 − 9 − 6

− 5x = − 12

5x = 12

x = 12/5

User JustinD
by
8.4k points
5 votes

Answer:


x=(12)/(5)

Explanation:

Given equation:


3(3x-1)-3(5x-3)=-(x+6)

Distribute:


\implies 3 \cdot 3x + 3 \cdot (-1) - 3 \cdot 5x - 3 \cdot (-3)=-x-6


\implies 9x-3-15x+9=-x-6

Collect and combine like terms on the left side of the equation:


\implies 9x-15x+9-3=-x-6


\implies -6x+6=-x-6

Add 6x to both sides:


\implies -6x+6+6x=-x-6+6x


\implies 6=5x-6

Add 6 to both sides:


\implies 6+6=5x-6+6


\implies 12=5x


\implies 5x=12

Divide both sides by 5:


\implies (5x)/(5)=(12)/(5)


\implies x=(12)/(5)

User Manthan Tilva
by
8.1k points

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