Solve the equation. $4 x = \frac { 3 } { 2 } \left( x - \frac { 1 } { 2 } \right)$
A) x = 5
B) x = $-$ 3
C) $x = - \frac { 3 } { 10 }$
D) $x = - \frac { 1 } { 5 }$
E) x = 8

Question

Quizplus · Accepted Answer

To solve the equation, we first distribute the 3/2 to get:

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

Next, we can simplify by moving all the terms to one side:

$$\frac{5}{2}x=-\frac{3}{4}$$

Then, we can solve for x by dividing both sides by 5/2:

$$x=-\frac{3}{4}\cdot\frac{2}{5}=-\frac{3}{10}$$

Therefore, the answer is (C).

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Solve the Equation $4 x = \frac { 3 } { 2 } \left( x - \frac { 1 } { 2 } \right)$