What is the answer to (3+5x)/5 =(4-x)/8 ?

The answer to (3+5x)/5 =(4-x)/8 is x=-4/45

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(3+5x)/5 =(4-x)/8

\frac{3 + 5 x}{5} = \frac{4 - x}{8}

x = - \frac{4}{45}

Decimal Notation

x = - 0.08888 \dots

Solution steps

\frac{3 + 5 x}{5} = \frac{4 - x}{8}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 + 5 x) \cdot 8 = 5 (4 - x)

Expand

(3 + 5 x) \cdot 8 : 24 + 40 x

Expand

5 (4 - x) : 20 - 5 x

24 + 40 x = 20 - 5 x

Move

24

to the right side

40 x = - 5 x - 4

Move

5 x

to the left side

45 x = - 4

Divide both sides by

45

x = - \frac{4}{45}

3 (x - 2)^{2} = 40

3 x - 15 + 5 x - 23 = 90

\frac{84}{28} \cdot \frac{2}{3} \cdot 65

∣ 3 x - 1 ∣ + 4 = 0

\frac{2}{2} + 1.75 - \frac{44}{25}

What is the answer to (3+5x)/5 =(4-x)/8 ?
The answer to (3+5x)/5 =(4-x)/8 is x=-4/45
Solve for x: (3+5x)/5 =(4-x)/8
The solution is x=-4/45