1. ## [SOLVED] Equation Help

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

I got 3, back of the book says it's -19 over 7

Got it:

3X - 5 (-2X-8) + 4 = 2 - (X-4)

3X + 10X + 40 + 4 = 2 - (X-4)

3X + 10X + 40 + 4 = 2 - X + 4

|
| Combine terms of X
13X + 40 + 4 = 2 - X + 4

|
| Combine constants.
13X + 44 = 2 - X + 4

|
| Combine constants.
13X + 44 = 6 - X

| Sort terms in decreasing powers.
13X + X = - 44 + 6

|
| Combine terms of X
14X = - 44 + 6

|
| Combine constants.
14X = - 38

|
| Next divide by 14, the coefficient of X.

7X = - 19

| Multiply by 1 to clear decimals.

- 19
X = + ______
7

|
| Check solutions by substituting each one in the original equation.
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| CHECKING SOLUTION #1: X = -2.71429
3X - 5 (-2X-8) + 4 = 2 - (X-4)

- 8.14286 + 5(2.57143) + 4 = 2 - (X-4)

- 8.14286 + 12.8571 + 4 = 2 + 6.71429

4.71429 + 4 = 2 + 6.71429

8.71429 = 2 + 6.71429

8.71429 = 8.71429

| Both sides of equation are equal.
| X = -2.71429 solution is verified.
| Check successful
| The solution set is valid.

***** Problem Summary *****
Problem: Solve
|
| 3X - 5 (-2X-8) + 4 = 2 - (X-4)
|

Solution

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| Solution: X = -2.71429
|
***** End of Problem *****

2. Okay, here's my way of working it out:

$3x - 5(-2x-8) + 4 = 2 - (x-4)$
$3x+10x+40+4=2-x+4$
$13x + 44 = 6 - x$
$13x+44+x=6$
$14x=6-44$
$14x=-38$
$x=-38/14$
Therefore:
$x=-19/7$