solve 2x-5>=3x+1

Let's solve in $ℝ$: $2x-5\ge 3x+1$

ⓘ We gather the terms in $x$ on the right and the other terms on the left

$-5-1\ge 3x-2x$

ⓘ Start from $-5$ and move back $1$ more on the number line, away from zero: $-5-1$ = $-6$■Group like terms by adding their coefficients: $3x-2x$ = $x$

$-6\ge x$

▶Solution obtained: $x\le -6$