Expression Simplification Math Example 2

Follow the full solution, then compare it with the other examples linked below.

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Simplify

3(2x + 4) - 5(x - 1)

1
Distribute each coefficient: $3(2x + 4) = 6x + 12$ and $-5(x - 1) = -5x + 5$ .
2
Rewrite the expression with all terms expanded: $6x + 12 - 5x + 5$ .
3
Combine like terms — $x$ -terms and constants separately: $(6x - 5x) + (12 + 5) = x + 17$ .

Answer

x + 17

When simplifying, first distribute any multiplication, then combine like terms. Be careful with the sign when distributing a negative:

-5(x - 1) = -5x + 5

About Expression Simplification

Rewriting an algebraic expression into an equivalent but reduced or more organized form by combining like terms and applying identities.

Simplify [formula].

Simplify [formula].

Simplify [formula].