What is the answer to |x+3|=4x-7 ?

The answer to |x+3|=4x-7 is x= 10/3

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|x+3|=4x-7

∣ x + 3 ∣ = 4 x - 7

x = \frac{10}{3}

Decimal Notation

x = 3.33333 \dots

Solution steps

∣ x + 3 ∣ = 4 x - 7

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = \frac{10}{3}

x = \frac{10}{3}

1 5^{1}

40 \cdot 7

x > - 1 and x \leq 4

\frac{3 2 - 5}{2 5 + 2}

8 (y - 7) = - 2 (y + 3)