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

The answer to 1/3 [2+1/5 (4z-1)]= 3/4 z-1/3 is z= 56/29

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

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

z = \frac{56}{29}

Decimal Notation

z = 1.93103 \dots

Solution steps

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

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

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

Move

\frac{3}{4} z

to the left side

\frac{- 29 z + 36}{60} = - \frac{1}{3}

Multiply both sides by

60

- 29 z + 36 = - 20

Move

36

to the right side

- 29 z = - 56

Divide both sides by

- 29

z = \frac{56}{29}

2 (x + 5) - 3 (5 - x) = 10

- 6 - 5 D + 24 = 2 D + 9 - 7 D

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

\frac{x + 3}{4} = \frac{x - 2}{3} + 10

x, 2 y = 1 + x y^{3}

What is the answer to 1/3 [2+1/5 (4z-1)]= 3/4 z-1/3 ?
The answer to 1/3 [2+1/5 (4z-1)]= 3/4 z-1/3 is z= 56/29
Solve for z: 1/3 [2+1/5 (4z-1)]= 3/4 z-1/3
The solution is z= 56/29