What is the answer to (2x+9}{3/4+9}=\frac{x-7/3)/4 ?

The answer to (2x+9}{3/4+9}=\frac{x-7/3)/4 is x= 235/7

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(2x+9}{3/4+9}=\frac{x-7/3)/4

\frac{2 x + 9}{\frac{3}{4} + 9} = \frac{x - \frac{7}{3}}{4}

x = \frac{235}{7}

Decimal Notation

x = 33.57142 \dots

Solution steps

\frac{2 x + 9}{\frac{3}{4} + 9} = \frac{x - \frac{7}{3}}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x + 9) \cdot 4 = (\frac{3}{4} + 9) (x - \frac{7}{3})

Simplify

(2 x + 9) \cdot 4 = \frac{39}{4} x - \frac{91}{4}

Expand

(2 x + 9) \cdot 4 : 8 x + 36

8 x + 36 = \frac{39}{4} x - \frac{91}{4}

Move

36

to the right side

8 x = - \frac{235}{4} + \frac{39}{4} x

Move

\frac{39}{4} x

to the left side

- \frac{7}{4} x = - \frac{235}{4}

Multiply both sides by

4

- 7 x = - 235

Divide both sides by

- 7

x = \frac{235}{7}

x, y = f (x + 6) + 2

u, 3 u + 2 v = 9

- 6 x + 6 = - 4 x - 2

3 (- y + 7) = 3 (y + 5) + 6

x, - 6 x + 2 y = 4

What is the answer to (2x+9}{3/4+9}=\frac{x-7/3)/4 ?
The answer to (2x+9}{3/4+9}=\frac{x-7/3)/4 is x= 235/7
Solve for x: (2x+9}{3/4+9}=\frac{x-7/3)/4
The solution is x= 235/7