Solve for x 1/4|x+2|+7=5

$\frac{1}{4} | x + 2 | + 7 = 5$

Step 1

Combine $\frac{1}{4}$ and $| x + 2 |$ .

$\frac{| x + 2 |}{4} + 7 = 5$

Step 2

Move all terms not containing $| x + 2 |$ to the right side of the equation.

Subtract $7$ from both sides of the equation.

$\frac{| x + 2 |}{4} = 5 - 7$

Subtract $7$ from $5$ .

$\frac{| x + 2 |}{4} = - 2$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{| x + 2 |}{4} = 4 \cdot - 2$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{| x + 2 |}{4} = 4 \cdot - 2$

Rewrite the expression.

$| x + 2 | = 4 \cdot - 2$

Simplify the right side.

Multiply $4$ by $- 2$ .

$| x + 2 | = - 8$

Step 5

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

No solution