What is the answer to (5x+2)/7 =(1+2x)/2 ?

The answer to (5x+2)/7 =(1+2x)/2 is x=-3/4

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(5x+2)/7 =(1+2x)/2

\frac{5 x + 2}{7} = \frac{1 + 2 x}{2}

x = - \frac{3}{4}

Decimal Notation

x = - 0.75

Solution steps

\frac{5 x + 2}{7} = \frac{1 + 2 x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 x + 2) \cdot 2 = 7 (1 + 2 x)

Expand

(5 x + 2) \cdot 2 : 10 x + 4

Expand

7 (1 + 2 x) : 7 + 14 x

10 x + 4 = 7 + 14 x

Move

4

to the right side

10 x = 14 x + 3

Move

14 x

to the left side

- 4 x = 3

Divide both sides by

- 4

x = - \frac{3}{4}

ia + i x - 4 ib - x = 0

3 x - 8 = 2 x - 1

y = - 5 + 3

\frac{3 x - 1}{5} = \frac{2 x + 1}{3}

x, 2 y - 4 x = 2

What is the answer to (5x+2)/7 =(1+2x)/2 ?
The answer to (5x+2)/7 =(1+2x)/2 is x=-3/4
Solve for x: (5x+2)/7 =(1+2x)/2
The solution is x=-3/4