Question

examples with variables:
x-2 \t3x-2x \t3x+2x-(-1x) \t4-(x+4) \t3-(x-2)

Explanation:

Step1: Simplify $x-2$

This expression is already in simplest form: $x-2$

Step2: Simplify $3x-2x$

Combine like terms: $3x-2x=(3-2)x = x$

Step3: Simplify $3x+2x-(-1x)$

First, rewrite subtraction of negative: $3x+2x+1x$
Combine like terms: $(3+2+1)x = 6x$

Step4: Simplify $4-(x+4)$

Distribute the negative sign: $4-x-4$
Combine constants: $4-4-x = -x$

Step5: Simplify $3-(x-2)$

Distribute the negative sign: $3-x+2$
Combine constants: $3+2-x = 5-x$

Answer:

$x-2$
$x$
$6x$
$-x$
$5-x$