What is the answer to (2x-3)/2 =(4x)/7 ?

The answer to (2x-3)/2 =(4x)/7 is x= 7/2

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(2x-3)/2 =(4x)/7

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

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 3) \cdot 7 = 2 \cdot 4 x

Simplify

(2 x - 3) \cdot 7 = 8 x

Expand

(2 x - 3) \cdot 7 : 14 x - 21

14 x - 21 = 8 x

Move

21

to the right side

14 x = 8 x + 21

Move

8 x

to the left side

6 x = 21

Divide both sides by

6

x = \frac{7}{2}

\frac{( - 6 ) ^{8}}{( - 6 ) ^{5}}

x^{4} + 2 x^{3} - 5 x^{2} - 6 x < 0

4 k - 1 < 7

- 6 (1 + 7 k) + 7 (1 + 6 k) < - 2

\frac{\frac{2}{2}}{\frac{2}{2}}

What is the answer to (2x-3)/2 =(4x)/7 ?
The answer to (2x-3)/2 =(4x)/7 is x= 7/2
Solve for x: (2x-3)/2 =(4x)/7
The solution is x= 7/2