What is the answer to (x+3)/4 =((5x-2))/(3+1) ?

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

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(x+3)/4 =((5x-2))/(3+1)

\frac{x + 3}{4} = \frac{( 5 x - 2 )}{3 + 1}

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

\frac{x + 3}{4} = \frac{( 5 x - 2 )}{3 + 1}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 3) (3 + 1) = 4 (5 x - 2)

Simplify

4 (x + 3) = 4 (5 x - 2)

Expand

4 (x + 3) : 4 x + 12

Expand

4 (5 x - 2) : 20 x - 8

4 x + 12 = 20 x - 8

Move

12

to the right side

4 x = 20 x - 20

Move

20 x

to the left side

- 16 x = - 20

Divide both sides by

- 16

x = \frac{5}{4}

0.75 (6 x - 1) = 0.25 (8 x - 1)

35 x - 13 = 22 + 45 x

x, 428 \cdot \frac{x}{y} = 12.24

x, - 3 x + 2 y - 4 = 0

\frac{b + 31}{2} = \frac{7}{4}

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