What is the answer to |3x-2|+4=4 ?

The answer to |3x-2|+4=4 is x= 2/3

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|3x-2|+4=4

∣ 3 x - 2 ∣ + 4 = 4

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ 3 x - 2 ∣ + 4 = 4

Subtract

4

from both sides

∣ 3 x - 2 ∣ + 4 - 4 = 4 - 4

Simplify

∣ 3 x - 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x - 2 = 0

3 x - 2 = 0 : x = \frac{2}{3}

x = \frac{2}{3}

\frac{x ^{2}}{0.2} = \frac{1 \cdot 1 0 ^{- 14}}{1.77 \cdot 1 0 ^{- 4}}

5 u + 18 > 13

2 x - 5 > 3 x

\frac{4}{2} - 1

1 - (- \frac{4}{5})^{2}