What is the answer to |7t+8|+7=10 ?

The answer to |7t+8|+7=10 is t=-11/7 \lor t=-5/7

Solve for t: |7t+8|+7=10

The solution is t=-11/7 \lor t=-5/7

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∣ 7 t + 8 ∣ + 7 = 10

t = - \frac{11}{7} or t = - \frac{5}{7}

Decimal Notation

t = - 1.57142 \dots, t = - 0.71428 \dots

Solution steps

∣ 7 t + 8 ∣ + 7 = 10

Move

7

to the right side

∣ 7 t + 8 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

7 t + 8 = - 3 or 7 t + 8 = 3

7 t + 8 = - 3 or 7 t + 8 = 3

t = - \frac{11}{7} or t = - \frac{5}{7}

∣ 5 x + 8 ∣ = 0

∣ 4 x + 1 ∣ = - 1

2 = ∣ k ∣ - 7

3 = ∣ t ∣ - 5

∣ x + 4 ∣ - 8 = 0

What is the answer to |7t+8|+7=10 ?
The answer to |7t+8|+7=10 is t=-11/7 \lor t=-5/7
Solve for t: |7t+8|+7=10
The solution is t=-11/7 \lor t=-5/7