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

The answer to |3x+4|=|x-7| is x=-11/2 \lor x= 3/4

Solve for x: |3x+4|=|x-7|

The solution is x=-11/2 \lor x= 3/4

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∣ 3 x + 4 ∣ = ∣ x - 7 ∣

x = - \frac{11}{2} or x = \frac{3}{4}

Decimal Notation

x = - 5.5, x = 0.75

Solution steps

∣ 3 x + 4 ∣ = ∣ x - 7 ∣

Find positive and negative intervals

x < - \frac{4}{3}, - \frac{4}{3} \leq x < 7, x \geq 7

Solve the inequality for each interval

x = - \frac{11}{2} or x = \frac{3}{4} or No Solution

x = - \frac{11}{2} or x = \frac{3}{4}

35 x^{3} + 7 x y^{2}

(x \cdot y)^{3} - 27 - y^{3} + 27 x^{3}

- \frac{1}{5 ( 3 ( 1 ) + 2 ) ^{2}}

145 b^{2} + 29 b

\frac{5 ( b ) ^{2}}{5 b ^{5}}

What is the answer to |3x+4|=|x-7| ?
The answer to |3x+4|=|x-7| is x=-11/2 \lor x= 3/4
Solve for x: |3x+4|=|x-7|
The solution is x=-11/2 \lor x= 3/4