Let's solve your inequality step-by-step.
5x+38<4(2−5x)
Step 1: Simplify both sides of the inequality.
5x+38<−20x+8
Step 2: Add 20x to both sides.
5x+38+20x<−20x+8+20x
25x+38<8
Step 3: Subtract 38 from both sides.
25x+38−38<8−38
25x<−30
Step 4: Divide both sides by 25.
25x -30
25 < 25
25
x< −6
5