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

The answer to ((2x-1))/(5+4)=((x+5))/(2+1) is x=-16

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

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

x = - 16

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Simplify

3 (2 x - 1) = 9 (x + 5)

Expand

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

Expand

9 (x + 5) : 9 x + 45

6 x - 3 = 9 x + 45

Move

3

to the right side

6 x = 9 x + 48

Move

9 x

to the left side

- 3 x = 48

Divide both sides by

- 3

x = - 16

3 x - (2 x - 5) = 4 (x - 2) - 8

2 x - \frac{1}{2} = 8 x

n, W = 32 - 0.05 n

2 (x - 3) = 4

y = 25 (1.2)^{5}

What is the answer to ((2x-1))/(5+4)=((x+5))/(2+1) ?
The answer to ((2x-1))/(5+4)=((x+5))/(2+1) is x=-16
Solve for x: ((2x-1))/(5+4)=((x+5))/(2+1)
The solution is x=-16