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What is the value of x in the equation ?2.5(6x-4)=10 4(1.5 0.5x)

2 Answers

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Final answer:

To solve for x in the given equation 2.5(6x-4)=10 4(1.5-0.5x), we can follow these steps: distribute the terms, combine like terms, isolate the variable x, and solve for x.

Step-by-step explanation:

The equation given is 2.5(6x-4)=10 4(1.5-0.5x). To solve for x, we can start by distributing the terms: 15x - 10 = 4.5 - 2x. We can then combine like terms to simplify the equation: 17x - 10 = 4.5. Next, we can isolate the variable x by adding 10 to both sides of the equation: 17x = 14.5. Finally, we can solve for x by dividing both sides of the equation by 17: x = 14.5/17. Therefore, the value of x in the equation is approximately 0.85.

User Jmruc
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4 votes
2.5(6x−4)=(10)(4)(1.5)(0.5)x

(2.5)(6x)+(2.5)(−4)=(10)(4)(1.5)(0.5)x(Distribute)15x+−10=30x
15x−10=30x


15x−1030x=30x30x15x−10=0

15x−10+10=0+1015x=10
15x−15=10−15x=−23
Answer:x=−23







User Aleksander Lidtke
by
8.6k points

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