What is the answer to -5|2+4x|=-32(x+3/4)-|x|+1 ?

The answer to -5|2+4x|=-32(x+3/4)-|x|+1 is x=-11/17

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-5|2+4x|=-32(x+3/4)-|x|+1

- 5 ∣ 2 + 4 x ∣ = - 32 (x + \frac{3}{4}) - ∣ x ∣ + 1

x = - \frac{11}{17}

Decimal Notation

x = - 0.64705 \dots

Solution steps

- 5 ∣ 2 + 4 x ∣ = - 32 (x + \frac{3}{4}) - ∣ x ∣ + 1

Find positive and negative intervals

x < - \frac{1}{2}, - \frac{1}{2} \leq x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{11}{17} or No Solution

x = - \frac{11}{17}

\frac{5 ^{- 3}}{5 ^{6}}

8 x^{3} y + 2 x^{4} - 8 x^{4} y

x^{2} y - x y^{2}

\frac{2}{5} - 1

4 x - 1 = 2 x + 1

What is the answer to -5|2+4x|=-32(x+3/4)-|x|+1 ?
The answer to -5|2+4x|=-32(x+3/4)-|x|+1 is x=-11/17
Solve for x: -5|2+4x|=-32(x+3/4)-|x|+1
The solution is x=-11/17