Question

question
solve for x and simplify the answer fully.
\frac{3x + 2}{7} = \frac{x - 3}{4}
answer attempt 1 out of 2
x = \boxed{}

Explanation:

Step1: Cross-multiply to eliminate denominators

$$4(3x + 2) = 7(x - 3)$$

Step2: Expand both sides of the equation

$$12x + 8 = 7x - 21$$

Step3: Isolate x terms on one side

$$12x - 7x = -21 - 8$$

Step4: Simplify to solve for x

$$5x = -29$$
$$x = \frac{-29}{5}$$

Answer:

$x = -\frac{29}{5}$