Solve for: (14x+7)-(-3x+2)

Expression: $(14x+7)-(-3x+2)$

Apply rule $(a)=a$

$=14x+7-(-3x+2)$

Apply the distributive law $-\left(-a+b\right)=a-b$

$=14x+7+3x-2$

Group like terms

$=14x+3x+7-2$

Add similar elements: $ 14x+3x=17x$

$=17x+7-2$

Subtract the numbers: $ 7-2=5$

$=17x+5$