What is the answer to 3x+2=(3(4x+3))/(4-3x) ?

The answer to 3x+2=(3(4x+3))/(4-3x) is x=-1/3

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3x+2=(3(4x+3))/(4-3x)

3 x + 2 = \frac{3 ( 4 x + 3 )}{4 - 3 x}

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

3 x + 2 = \frac{3 ( 4 x + 3 )}{4 - 3 x}

Multiply both sides by

4 - 3 x

3 x (4 - 3 x) + 2 (4 - 3 x) = 3 (4 x + 3)

Solve

3 x (4 - 3 x) + 2 (4 - 3 x) = 3 (4 x + 3) : x = - \frac{1}{3}

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}

Combine undefined points with solutions:

x = - \frac{1}{3}

\frac{2 + x}{7 + x} = \frac{5}{4}

\frac{n - 3}{2 n - 2} = - n

a, \frac{ab + a c}{a} = b + c

w + w^{- 1} = 13

\frac{1}{3 x - \frac{1}{3}} = 12

What is the answer to 3x+2=(3(4x+3))/(4-3x) ?
The answer to 3x+2=(3(4x+3))/(4-3x) is x=-1/3
Solve for x: 3x+2=(3(4x+3))/(4-3x)
The solution is x=-1/3