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

The answer to (7x-2)/3 =(3-4x)/2 is x= 1/2

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

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

x = \frac{1}{2}

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

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

14 x - 4 = 9 - 12 x

Move

4

to the right side

14 x = - 12 x + 13

Move

12 x

to the left side

26 x = 13

Divide both sides by

26

x = \frac{1}{2}

x^{2} + 14 x - 51 = 0

8 x^{2} + 18 x + 4

5 x = 2 x^{2}

1.2 + m \leq 5.5

y^{4} - 144

What is the answer to (7x-2)/3 =(3-4x)/2 ?
The answer to (7x-2)/3 =(3-4x)/2 is x= 1/2
Solve for x: (7x-2)/3 =(3-4x)/2
The solution is x= 1/2