Question

1. $\frac{3x + 2}{7}=\frac{4x - 1}{5}$

Explanation:

Step1: Cross - multiply

$5(3x + 2)=7(4x - 1)$

Step2: Expand both sides

$15x+10 = 28x-7$

Step3: Move x terms to one side and constants to the other

$10 + 7=28x-15x$

Step4: Simplify both sides

$17 = 13x$

Step5: Solve for x

$x=\frac{17}{13}$

Answer:

$x=\frac{17}{13}$