Solve for x -0.4|x+5.75|+4.3=8.7

$- 0.4 | x + 5.75 | + 4.3 = 8.7$

Step 1

Move all terms not containing $| x + 5.75 |$ to the right side of the equation.

Subtract $4.3$ from both sides of the equation.

$- 0.4 | x + 5.75 | = 8.7 - 4.3$

Subtract $4.3$ from $8.7$ .

$- 0.4 | x + 5.75 | = 4.4$

Step 2

Divide each term in $- 0.4 | x + 5.75 | = 4.4$ by $- 0.4$ and simplify.

Divide each term in $- 0.4 | x + 5.75 | = 4.4$ by $- 0.4$ .

$\frac{- 0.4 | x + 5.75 |}{- 0.4} = \frac{4.4}{- 0.4}$

Simplify the left side.

Cancel the common factor of $- 0.4$ .

Cancel the common factor.

$\frac{- 0.4 | x + 5.75 |}{- 0.4} = \frac{4.4}{- 0.4}$

Divide $| x + 5.75 |$ by $1$ .

$| x + 5.75 | = \frac{4.4}{- 0.4}$

Simplify the right side.

Divide $4.4$ by $- 0.4$ .

$| x + 5.75 | = - 11$

Step 3

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution