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

The answer to (6-2x)/3 =(5x-1)/4 is x= 27/23

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(6-2x)/3 =(5x-1)/4

\frac{6 - 2 x}{3} = \frac{5 x - 1}{4}

x = \frac{27}{23}

Decimal Notation

x = 1.17391 \dots

Solution steps

\frac{6 - 2 x}{3} = \frac{5 x - 1}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(6 - 2 x) \cdot 4 = 3 (5 x - 1)

Expand

(6 - 2 x) \cdot 4 : 24 - 8 x

Expand

3 (5 x - 1) : 15 x - 3

24 - 8 x = 15 x - 3

Move

24

to the right side

- 8 x = 15 x - 27

Move

15 x

to the left side

- 23 x = - 27

Divide both sides by

- 23

x = \frac{27}{23}

x^{2} + 6 x + 4 = 4

- 2 x^{2} + 8 x + 10 = 0

∣ x + 1 ∣ > 3

\frac{ln ( 2 )}{ln ( 4 )}

∣ 3 - 2 x ∣ \geq 4

What is the answer to (6-2x)/3 =(5x-1)/4 ?
The answer to (6-2x)/3 =(5x-1)/4 is x= 27/23
Solve for x: (6-2x)/3 =(5x-1)/4
The solution is x= 27/23