What is the answer to 1/3 (z+4)-6= 2/3 (5-z) ?

The answer to 1/3 (z+4)-6= 2/3 (5-z) is z=8

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1/3 (z+4)-6= 2/3 (5-z)

\frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z)

z = 8

Solution steps

\frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z)

Expand

\frac{1}{3} (z + 4) - 6 : - \frac{14}{3} + \frac{1}{3} z

Expand

\frac{2}{3} (5 - z) : \frac{10}{3} - \frac{2}{3} z

- \frac{14}{3} + \frac{1}{3} z = \frac{10}{3} - \frac{2}{3} z

Move

\frac{14}{3}

to the right side

\frac{1}{3} z = - \frac{2}{3} z + 8

Move

\frac{2}{3} z

to the left side

z = 8

\frac{2 ^{- 2}}{2 ^{- 1}}

∣ x - 3 ∣ \geq 12

∣ x - 4 ∣ = x^{2} - 6 x + 9

5 x^{2} - 23 x - 10

3 x^{2} - 6 x + 1

What is the answer to 1/3 (z+4)-6= 2/3 (5-z) ?
The answer to 1/3 (z+4)-6= 2/3 (5-z) is z=8
Solve for z: 1/3 (z+4)-6= 2/3 (5-z)
The solution is z=8