Solve for x 8x+4y+6=70

$8 x + 4 y + 6 = 70$

Step 1

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

Subtract $4 y$ from both sides of the equation.

$8 x + 6 = 70 - 4 y$

Subtract $6$ from both sides of the equation.

$8 x = 70 - 4 y - 6$

Subtract $6$ from $70$ .

$8 x = - 4 y + 64$

Step 2

Divide each term in $8 x = - 4 y + 64$ by $8$ and simplify.

Divide each term in $8 x = - 4 y + 64$ by $8$ .

$\frac{8 x}{8} = \frac{- 4 y}{8} + \frac{64}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 4 y}{8} + \frac{64}{8}$

Divide $x$ by $1$ .

$x = \frac{- 4 y}{8} + \frac{64}{8}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 4$ and $8$ .

Factor $4$ out of $- 4 y$ .

$x = \frac{4 (- y)}{8} + \frac{64}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$x = \frac{4 (- y)}{4 (2)} + \frac{64}{8}$

Cancel the common factor.

$x = \frac{4 (- y)}{4 \cdot 2} + \frac{64}{8}$

Rewrite the expression.

$x = \frac{- y}{2} + \frac{64}{8}$

Move the negative in front of the fraction.

$x = - \frac{y}{2} + \frac{64}{8}$

Divide $64$ by $8$ .

$x = - \frac{y}{2} + 8$