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3(2x + 5) + 8 =-2(4x - 5) - 15

User Fuchsia
by
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1 Answer

0 votes

Answer:

x = -2

Explanation:

We are given the following equation:

3(2x + 5) + 8 = -2(4x - 5) - 15

The first step is applying the distributive properties. So

3(2x + 5) = 3*2x + 3*5 = 6x + 15

-2(4x - 5) = -2*4x -2*(-5) = -8x + 10

So

3(2x + 5) + 8 = -2(4x - 5) - 15

6x + 15 + 8 = -8x + 10 - 15

Now we simplify the like terms

6x + 23 = -8x - 5

Now we solve for x, placing every term with x on the left side and every independent term on the right.

6x + 8x = -5 - 23

14x = -28

x = -28/14

x = -2

User BalusC
by
6.6k points
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