What is the answer to |6x-3|+7=28 ?

The answer to |6x-3|+7=28 is x=-3\lor x=4

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|6x-3|+7=28

∣ 6 x - 3 ∣ + 7 = 28

x = - 3 or x = 4

Solution steps

∣ 6 x - 3 ∣ + 7 = 28

Move

7

to the right side

∣ 6 x - 3 ∣ = 21

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 3 = - 21 or 6 x - 3 = 21

6 x - 3 = - 21 or 6 x - 3 = 21

x = - 3 or x = 4

3 \leq ∣ 3 x - 15 ∣

\frac{x}{360} = \frac{\frac{π}{4}}{2 π}

54 p + 9 + 6 qp + q

10 = 50 + 2 x - 0.0625 x^{2}

5 + 4 x = 3 \cdot (x - 2) + 9