What is the answer to (51)/(2-3x)= 4/3 ?

The answer to (51)/(2-3x)= 4/3 is x=-145/12

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(51)/(2-3x)= 4/3

\frac{51}{2 - 3 x} = \frac{4}{3}

x = - \frac{145}{12}

Decimal Notation

x = - 12.08333 \dots

Solution steps

\frac{51}{2 - 3 x} = \frac{4}{3}

Cross multiply

153 = (2 - 3 x) \cdot 4

Switch sides

(2 - 3 x) \cdot 4 = 153

Divide both sides by

4

2 - 3 x = \frac{153}{4}

Move

2

to the right side

- 3 x = \frac{145}{4}

Divide both sides by

- 3

x = - \frac{145}{12}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = - \frac{145}{12}

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

100 - x = \frac{98.2818 - 10}{11 x}

\frac{3}{2 x - 1 + 4} = \frac{6 x}{2 x - 1}

x, \frac{3}{x} - \frac{1}{y} = \frac{5}{4}

\frac{y}{2 \cdot ( \frac{y}{2} + 1 )} = 420

What is the answer to (51)/(2-3x)= 4/3 ?
The answer to (51)/(2-3x)= 4/3 is x=-145/12
Solve for x: (51)/(2-3x)= 4/3
The solution is x=-145/12