What is the answer to (2x-1)/4 =(x-7)/3 ?

The answer to (2x-1)/4 =(x-7)/3 is x=-25/2

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(2x-1)/4 =(x-7)/3

\frac{2 x - 1}{4} = \frac{x - 7}{3}

x = - \frac{25}{2}

Decimal Notation

x = - 12.5

Solution steps

\frac{2 x - 1}{4} = \frac{x - 7}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 1) \cdot 3 = 4 (x - 7)

Expand

(2 x - 1) \cdot 3 : 6 x - 3

Expand

4 (x - 7) : 4 x - 28

6 x - 3 = 4 x - 28

Move

3

to the right side

6 x = 4 x - 25

Move

4 x

to the left side

2 x = - 25

Divide both sides by

2

x = - \frac{25}{2}

\frac{2}{3} x + 16 = \frac{4}{9} x

- 0.5 g + 13 = 3 g

y = ∣ 1 ∣

\frac{3 a x + 2 b}{c} = 4 d

3 x - 2 = x - 1

What is the answer to (2x-1)/4 =(x-7)/3 ?
The answer to (2x-1)/4 =(x-7)/3 is x=-25/2
Solve for x: (2x-1)/4 =(x-7)/3
The solution is x=-25/2