Question

-2(2x+6)+3x=(3x-2)-(-2x+7)

Answer 1

Ответ:

-4x-12+3x=3x-2+2x-7

-4x+3x-3x-2x=-2-7+12

-6x=3

x=--0,5

можно лучший ответ

Answer 2

I can help you solve this equation. Here are the steps:

- First, we need to simplify both sides of the equation by applying the distributive property and combining like terms. We get:

$$-4x-12+3x=3x-2+2x-7$$

- Next, we need to move all the terms with x to one side and all the constants to the other side by adding or subtracting them from both sides. We get:

$$-4x+3x-3x-2x=-12-2+7$$

- Then, we need to simplify both sides again by combining like terms. We get:

$$-6x=-7$$

- Finally, we need to isolate x by dividing both sides by -6. We get:

$$x=\frac{7}{6}$$

- This is the final answer. We can check it by plugging it back into the original equation and verifying that both sides are equal. We get:

$$-2(2\cdot\frac{7}{6}+6)+3\cdot\frac{7}{6}=(3\cdot\frac{7}{6}-2)-(-2\cdot\frac{7}{6}+7)$$

$$-2(\frac{14}{6}+\frac{36}{6})+\frac{21}{6}=(\frac{21}{6}-\frac{12}{6})-(-\frac{14}{6}+\frac{42}{6})$$

$$-\frac{100}{6}+\frac{21}{6}=\frac{9}{6}-(-\frac{28}{6}-\frac{42}{6})$$

$$-\frac{79}{6}=\frac{9}{6}+\frac{70}{6}$$

$$-\frac{79}{6}=-\frac{79}{6}$$

- This is true, so we have verified that x = 7/6 is the correct solution.