Solve for: 4(x+3)-(6x+2)

Expression: $4\left( x+3 \right)-\left( 6x+2 \right)$

Distribute $4$ through the parentheses

$4x+12-\left( 6x+2 \right)$

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

$4x+12-6x-2$

Collect like terms

$-2x+12-2$

Subtract the numbers

$-2x+10$