Solve for x 7=(2x+46)/8

$7 = \frac{2 x + 46}{8}$

Step 1

Rewrite the equation as $\frac{2 x + 46}{8} = 7$ .

$\frac{2 x + 46}{8} = 7$

Step 2

Cancel the common factor of $2 x + 46$ and $8$ .

Factor $2$ out of $2 x$ .

$\frac{2 (x) + 46}{8} = 7$

Factor $2$ out of $46$ .

$\frac{2 x + 2 \cdot 23}{8} = 7$

Factor $2$ out of $2 x + 2 \cdot 23$ .

$\frac{2 (x + 23)}{8} = 7$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{2 (x + 23)}{2 (4)} = 7$

Cancel the common factor.

$\frac{2 (x + 23)}{2 \cdot 4} = 7$

Rewrite the expression.

$\frac{x + 23}{4} = 7$

Step 3

Multiply both sides by $4$ .

$\frac{x + 23}{4} \cdot 4 = 7 \cdot 4$

Step 4

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{x + 23}{4} \cdot 4 = 7 \cdot 4$

Rewrite the expression.

$x + 23 = 7 \cdot 4$

Simplify the right side.

Multiply $7$ by $4$ .

$x + 23 = 28$

Step 5

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

Subtract $23$ from both sides of the equation.

$x = 28 - 23$

Subtract $23$ from $28$ .

$x = 5$