Answer
$15x+6$
Work Step by Step
Commutative properties: $a+b=b+a,\qquad ab=ba$
Associative properties:$ a+(b+c)=(a+b)+c,\qquad a(bc)=(ab)c$
Distributive property: $\quad A(x+y)=Ax+Ay$
Simplifying Algebraic Expressions:
1. Use distributive property to remove parentheses
2, Rearrange terms and group like terms using the commutative and associative properties.
3. Combine terms by combining the coefficients of the terms and keeping the same variable factor.
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$5(3x+2)-4=$
... apply distributive property,
$=5\cdot 3x+5\cdot 2-4$
....simplify
$=15x+10-4$
...associative property: group like terms
$=15x+(10-4)$
... combine like terms,
= $15x+6$
