Solve for x 2(3x+7)+x=70

$2 (3 x + 7) + x = 70$

Step 1

Simplify $2 (3 x + 7) + x$ .

Simplify each term.

Apply the distributive property.

$2 (3 x) + 2 \cdot 7 + x = 70$

Multiply $3$ by $2$ .

$6 x + 2 \cdot 7 + x = 70$

Multiply $2$ by $7$ .

$6 x + 14 + x = 70$

Add $6 x$ and $x$ .

$7 x + 14 = 70$

Step 2

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

Subtract $14$ from both sides of the equation.

$7 x = 70 - 14$

Subtract $14$ from $70$ .

$7 x = 56$

Step 3

Divide each term in $7 x = 56$ by $7$ and simplify.

Divide each term in $7 x = 56$ by $7$ .

$\frac{7 x}{7} = \frac{56}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{56}{7}$

Divide $x$ by $1$ .

$x = \frac{56}{7}$

Simplify the right side.

Divide $56$ by $7$ .

$x = 8$