Simplify 6x-4+3(2x-3y+9)

$6 x - 4 + 3 (2 x - 3 y + 9)$

Step 1

Simplify each term.

Apply the distributive property.

$6 x - 4 + 3 (2 x) + 3 (- 3 y) + 3 \cdot 9$

Simplify.

Multiply $2$ by $3$ .

$6 x - 4 + 6 x + 3 (- 3 y) + 3 \cdot 9$

Multiply $- 3$ by $3$ .

$6 x - 4 + 6 x - 9 y + 3 \cdot 9$

Multiply $3$ by $9$ .

$6 x - 4 + 6 x - 9 y + 27$

$6 x - 4 + 6 x - 9 y + 27$

$6 x - 4 + 6 x - 9 y + 27$

Step 2

Simplify by adding terms.

Add $6 x$ and $6 x$ .

$12 x - 4 - 9 y + 27$

Add $- 4$ and $27$ .

$12 x - 9 y + 23$

$12 x - 9 y + 23$

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