What is the answer to (2x)/(3+5x-3(x+2))=6-x ?

The answer to (2x)/(3+5x-3(x+2))=6-x is x=2,x= 9/2

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(2x)/(3+5x-3(x+2))=6-x

\frac{2 x}{3 + 5 x - 3 ( x + 2 )} = 6 - x

x = 2, x = \frac{9}{2}

Decimal Notation

x = 2, x = 4.5

Solution steps

\frac{2 x}{3 + 5 x - 3 ( x + 2 )} = 6 - x

Simplify

\frac{2 x}{3 + 5 x - 3 ( x + 2 )} : \frac{2 x}{2 x - 3}

\frac{2 x}{2 x - 3} = 6 - x

Multiply both sides by

2 x - 3

2 x = 6 (2 x - 3) - x (2 x - 3)

Solve

2 x = 6 (2 x - 3) - x (2 x - 3) : x = 2, x = \frac{9}{2}

x = 2, x = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = 2, x = \frac{9}{2}

- 13 = \frac{9}{r} + 8

x^{4} + \frac{1}{x ^{2}} = 2

y, x = \frac{1 + 3 y}{y}

14.8 = \frac{0.693}{k}

\frac{20}{3} = \frac{5}{h}

What is the answer to (2x)/(3+5x-3(x+2))=6-x ?
The answer to (2x)/(3+5x-3(x+2))=6-x is x=2,x= 9/2
Solve for x: (2x)/(3+5x-3(x+2))=6-x
The solution is x=2,x= 9/2