Solve for x y+17=3(x+6)-14

$y + 17 = 3 (x + 6) - 14$

Step 1

Rewrite the equation as $3 (x + 6) - 14 = y + 17$ .

$3 (x + 6) - 14 = y + 17$

Step 2

Simplify $3 (x + 6) - 14$ .

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot 6 - 14 = y + 17$

Multiply $3$ by $6$ .

$3 x + 18 - 14 = y + 17$

Subtract $14$ from $18$ .

$3 x + 4 = y + 17$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$3 x = y + 17 - 4$

Subtract $4$ from $17$ .

$3 x = y + 13$

Step 4

Divide each term in $3 x = y + 13$ by $3$ and simplify.

Divide each term in $3 x = y + 13$ by $3$ .

$\frac{3 x}{3} = \frac{y}{3} + \frac{13}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{y}{3} + \frac{13}{3}$

Divide $x$ by $1$ .

$x = \frac{y}{3} + \frac{13}{3}$