What is the answer to (2x}{3+5}=\frac{8-5x)/2 ?

The answer to (2x}{3+5}=\frac{8-5x)/2 is x= 16/11

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(2x}{3+5}=\frac{8-5x)/2

\frac{2 x}{3 + 5} = \frac{8 - 5 x}{2}

x = \frac{16}{11}

Decimal Notation

x = 1.45454 \dots

Solution steps

\frac{2 x}{3 + 5} = \frac{8 - 5 x}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 x \cdot 2 = (3 + 5) (8 - 5 x)

Simplify

4 x = 8 (8 - 5 x)

Expand

8 (8 - 5 x) : 64 - 40 x

4 x = 64 - 40 x

Move

40 x

to the left side

44 x = 64

Divide both sides by

44

x = \frac{16}{11}

- (- 5 x - 5) - 1 = - (- 9 x + 1) + 6 x

- 9 x = 63

\frac{2 x - 5}{5} - 3 x = \frac{20 - 3 x}{2}

2 - 2 m = 0

x, \frac{y}{- 1} = f (x + 5)

What is the answer to (2x}{3+5}=\frac{8-5x)/2 ?
The answer to (2x}{3+5}=\frac{8-5x)/2 is x= 16/11
Solve for x: (2x}{3+5}=\frac{8-5x)/2
The solution is x= 16/11