What is the answer to (4x-7)/9 =(x-9)/2 ?

The answer to (4x-7)/9 =(x-9)/2 is x=67

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(4x-7)/9 =(x-9)/2

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

x = 67

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x - 7) \cdot 2 = 9 (x - 9)

Expand

(4 x - 7) \cdot 2 : 8 x - 14

Expand

9 (x - 9) : 9 x - 81

8 x - 14 = 9 x - 81

Move

14

to the right side

8 x = 9 x - 67

Move

9 x

to the left side

- x = - 67

Divide both sides by

- 1

x = 67

(\frac{a b ^{3}}{a ^{5} b})^{- 2}

192 x + 1029 x^{4}

(0.8 - x) (0.7 - x) - 0.06 = 0

c^{2} + 11 c + 18

\frac{3 + t ^{4}}{u t ^{2} + u ^{4} t ^{2}}

What is the answer to (4x-7)/9 =(x-9)/2 ?
The answer to (4x-7)/9 =(x-9)/2 is x=67
Solve for x: (4x-7)/9 =(x-9)/2
The solution is x=67