Question

question solve for x and simplify the answer fully. \\(\frac{x - 5}{9} = \frac{3x + 2}{4}\\) answer \\(x = \\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$4(x - 5) = 9(3x + 2)$

Step2: Expand both sides of the equation

$4x - 20 = 27x + 18$

Step3: Isolate x terms on one side

$4x - 27x = 18 + 20$

Step4: Simplify both sides

$-23x = 38$

Step5: Solve for x

$x = -\frac{38}{23}$

Answer:

$x = -\frac{38}{23}$