What is the answer to |5x+1|-8=4x ?

The answer to |5x+1|-8=4x is x=-1\lor x=7

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|5x+1|-8=4x

∣ 5 x + 1 ∣ - 8 = 4 x

x = - 1 or x = 7

Solution steps

∣ 5 x + 1 ∣ - 8 = 4 x

Find positive and negative intervals

x < - \frac{1}{5}, x \geq - \frac{1}{5}

Solve the inequality for each interval

x = - 1 or x = 7

x^{2} \leq 6 - x

3 (\frac{1}{3})

a^{2} - 9 a + 14

\frac{( 2 ^{4} ) ^{2}}{4 ^{2}}

c^{2} = 5 c