Calculate: -5x+4=-2x+16

Expression: $-5x+4=-2x+16$

Move the variable to the left-hand side and change its sign

$-5x+4+2x=16$

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

$-5x+2x=16-4$

Collect like terms

$-3x=16-4$

Subtract the numbers

$-3x=12$

Divide both sides of the equation by $3$

$-x=4$

Change the signs on both sides of the equation

$x=-4$