Calculate: 2(x-3)-(x-2)=5

Expression: $2\left( x-3 \right)-\left( x-2 \right)=5$

Distribute $2$ through the parentheses

$2x-6-\left( x-2 \right)=5$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

$2x-6-x+2=5$

Collect like terms

$x-6+2=5$

Calculate the sum

$x-4=5$

Move the constant to the right-hand side and change its sign

$x=5+4$

Add the numbers

$x=9$