The given expression is
[tex]7-2(x-5)+3x[/tex]First, we use the distributive property to get rid of the parenthesis.
[tex]7-2x+10+3x[/tex]Then, we reduce like terms. -2x and 3x are like terms, also 7 and 10 are like terms.
[tex]3x-2x+10+7=x+17[/tex]