Question

equations-linear equations: prob 9 (1 point) solve the equation $\frac{3x - 1}{4}+\frac{x - 2}{5}-\frac{x - 1}{6}=\frac{13}{24}$. answer: $x=square$ preview my answers submit answers you have attempted this problem 0 times. you have unlimited attempts remaining. ask for help page generated september 23, 2026 at 0:03:22 pm edt

Explanation:

Step1: Find the LCM of denominators

The denominators are 4, 5, 6 and 24. The LCM of 4, 5, 6 and 24 is 120.

Step2: Multiply each term by 120

$120\times\frac{3x - 1}{4}+120\times\frac{x - 2}{5}-120\times\frac{x - 1}{6}=120\times\frac{13}{24}$
$30(3x - 1)+24(x - 2)-20(x - 1)=65$

Step3: Expand the brackets

$90x-30 + 24x-48-20x + 20=65$

Step4: Combine like - terms

$(90x+24x-20x)+(-30-48 + 20)=65$
$94x-58 = 65$

Step5: Isolate the variable term

$94x=65 + 58$
$94x=123$

Step6: Solve for x

$x=\frac{123}{94}$

Answer:

$x=\frac{123}{94}$