Solve for x 5(3x-14)+2(x+27)=360

$5 (3 x - 14) + 2 (x + 27) = 360$

Simplify $5 (3 x - 14) + 2 (x + 27)$ .

Simplify each term.

Apply the distributive property.

$5 (3 x) + 5 \cdot - 14 + 2 (x + 27) = 360$

Multiply $3$ by $5$ .

$15 x + 5 \cdot - 14 + 2 (x + 27) = 360$

Multiply $5$ by $- 14$ .

$15 x - 70 + 2 (x + 27) = 360$

Apply the distributive property.

$15 x - 70 + 2 x + 2 \cdot 27 = 360$

Multiply $2$ by $27$ .

$15 x - 70 + 2 x + 54 = 360$

Simplify by adding terms.

Add $15 x$ and $2 x$ .

$17 x - 70 + 54 = 360$

Add $- 70$ and $54$ .

$17 x - 16 = 360$

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

Add $16$ to both sides of the equation.

$17 x = 360 + 16$

Add $360$ and $16$ .

$17 x = 376$

Divide each term in $17 x = 376$ by $17$ and simplify.

Divide each term in $17 x = 376$ by $17$ .

$\frac{17 x}{17} = \frac{376}{17}$

Simplify the left side.

Cancel the common factor of $17$ .

Cancel the common factor.

$\frac{17 x}{17} = \frac{376}{17}$

Divide $x$ by $1$ .

$x = \frac{376}{17}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{376}{17}$

Decimal Form:

$x = 22.11764705 \dots$

Mixed Number Form:

$x = 22 \frac{2}{17}$