What is the answer to (5x-8)/(x-3)= 7/(3-x) ?

The answer to (5x-8)/(x-3)= 7/(3-x) is x= 1/5

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(5x-8)/(x-3)= 7/(3-x)

\frac{5 x - 8}{x - 3} = \frac{7}{3 - x}

x = \frac{1}{5}

Decimal Notation

x = 0.2

Solution steps

\frac{5 x - 8}{x - 3} = \frac{7}{3 - x}

Cross multiply

(5 x - 8) (3 - x) = (x - 3) \cdot 7

Solve

(5 x - 8) (3 - x) = (x - 3) \cdot 7 : x = \frac{1}{5}, x = 3

x = \frac{1}{5}, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 3

Since the equation is undefined for:

3

x = \frac{1}{5}

\frac{5}{7} = \frac{10}{x + 2}

\frac{4}{x} = 1

\frac{1}{x} - \frac{1}{- 0.3} = 5

3 = \frac{z}{- z + 14}

f, \frac{f}{4 f - 10 p} = - 4 p - 6

What is the answer to (5x-8)/(x-3)= 7/(3-x) ?
The answer to (5x-8)/(x-3)= 7/(3-x) is x= 1/5
Solve for x: (5x-8)/(x-3)= 7/(3-x)
The solution is x= 1/5