What is the answer to 3|w-(10-w)|=7(w+1) ?

The answer to 3|w-(10-w)|=7(w+1) is w= 23/13

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3|w-(10-w)|=7(w+1)

3 ∣ w - (10 - w) ∣ = 7 (w + 1)

w = \frac{23}{13}

Decimal Notation

w = 1.76923 \dots

Solution steps

3 ∣ w - (10 - w) ∣ = 7 (w + 1)

Find positive and negative intervals

w < 5, w \geq 5

Solve the inequality for each interval

w = \frac{23}{13} or No Solution

w = \frac{23}{13}

∣ - 2 n ∣ + 30 = - 30

9 + 9 ∣ 8 x + 1 ∣ = 18

∣ 2 \cdot x + 5 ∣ - 5 = 9

n (x) = 7 ∣ x ∣ + 3 x - 1

∣ 3 x - 4 ∣ = 6 x - 8

What is the answer to 3|w-(10-w)|=7(w+1) ?
The answer to 3|w-(10-w)|=7(w+1) is w= 23/13
Solve for w: 3|w-(10-w)|=7(w+1)
The solution is w= 23/13