Answer:
The solution to the equation −2(4x+3)+6=2(2x−3)−10x is x = 3.
Explanation:
To solve the equation −2(4x+3)+6=2(2x−3)−10x, we can start by simplifying both sides of the equation:
Left side: −2(4x+3)+6 = −8x − 6 + 6 = −8x
Right side: 2(2x−3)−10x = 4x − 6 − 10x = −6x − 6
Now, we can rewrite the equation as:
−8x = −6x − 6
To isolate the variable x, we can add 6x to both sides of the equation:
−8x + 6x = −6
Simplifying further, we get:
−2x = −6
Finally, we can solve for x by dividing both sides of the equation by −2:
−2x / (−2) = −6 / (−2)
Simplifying, we find:
x = 3
Therefore, the solution to the equation −2(4x+3)+6=2(2x−3)−10x is x = 3.
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