What is the answer to (4x-3)/6 =(2+9-2x)/3 ?

The answer to (4x-3)/6 =(2+9-2x)/3 is x= 25/8

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(4x-3)/6 =(2+9-2x)/3

\frac{4 x - 3}{6} = \frac{2 + 9 - 2 x}{3}

x = \frac{25}{8}

Decimal Notation

x = 3.125

Solution steps

\frac{4 x - 3}{6} = \frac{2 + 9 - 2 x}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x - 3) \cdot 3 = 6 (2 + 9 - 2 x)

Simplify

(4 x - 3) \cdot 3 = 6 (- 2 x + 11)

Expand

(4 x - 3) \cdot 3 : 12 x - 9

Expand

6 (- 2 x + 11) : - 12 x + 66

12 x - 9 = - 12 x + 66

Move

9

to the right side

12 x = - 12 x + 75

Move

12 x

to the left side

24 x = 75

Divide both sides by

24

x = \frac{25}{8}

4 w - 3 w - 1 = 7

x = 1.7 \cdot 1 0^{- 8} \cdot e^{0.0039 (- 27 - 20)}

c = - 9 - 8 c

x, 2 x + y = 20

x, 2 x + y = 13

What is the answer to (4x-3)/6 =(2+9-2x)/3 ?
The answer to (4x-3)/6 =(2+9-2x)/3 is x= 25/8
Solve for x: (4x-3)/6 =(2+9-2x)/3
The solution is x= 25/8