What is the answer to |5x-8|=-3x+9 ?

The answer to |5x-8|=-3x+9 is x=-1/2 \lor x= 17/8

Solve for x: |5x-8|=-3x+9

The solution is x=-1/2 \lor x= 17/8

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∣ 5 x - 8 ∣ = - 3 x + 9

x = - \frac{1}{2} or x = \frac{17}{8}

Decimal

x = - 0.5, x = 2.125

Solution steps

∣ 5 x - 8 ∣ = - 3 x + 9

Find positive and negative intervals

x < \frac{8}{5}, x \geq \frac{8}{5}

Solve the inequality for each interval

x = - \frac{1}{2} or x = \frac{17}{8}

2 - \frac{4}{5} a = 4

∣ 3 x + 6 ∣ + 4 = 25

x, ∣ x ∣ = 1 - 2 x^{2}

\frac{x}{3 - 4} = 3

2 ∣ 5 x - 2 ∣ + 8 = 12

What is the answer to |5x-8|=-3x+9 ?
The answer to |5x-8|=-3x+9 is x=-1/2 \lor x= 17/8
Solve for x: |5x-8|=-3x+9
The solution is x=-1/2 \lor x= 17/8