Solve for x 3x-x/8=23

$3 x - \frac{x}{8} = 23$

Simplify $3 x - \frac{x}{8}$ .

To write $3 x$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$3 x \cdot \frac{8}{8} - \frac{x}{8} = 23$

Simplify terms.

Combine $3 x$ and $\frac{8}{8}$ .

$\frac{3 x \cdot 8}{8} - \frac{x}{8} = 23$

Combine the numerators over the common denominator.

$\frac{3 x \cdot 8 - x}{8} = 23$

Simplify the numerator.

Factor $x$ out of $3 x \cdot 8 - x$ .

Factor $x$ out of $3 x \cdot 8$ .

$\frac{x (3 \cdot 8) - x}{8} = 23$

Factor $x$ out of $- x$ .

$\frac{x (3 \cdot 8) + x \cdot - 1}{8} = 23$

Factor $x$ out of $x (3 \cdot 8) + x \cdot - 1$ .

$\frac{x (3 \cdot 8 - 1)}{8} = 23$

Multiply $3$ by $8$ .

$\frac{x (24 - 1)}{8} = 23$

Subtract $1$ from $24$ .

$\frac{x \cdot 23}{8} = 23$

Move $23$ to the left of $x$ .

$\frac{23 x}{8} = 23$

Multiply both sides of the equation by $\frac{8}{23}$ .

$\frac{8}{23} \cdot \frac{23 x}{8} = \frac{8}{23} \cdot 23$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{8}{23} \cdot \frac{23 x}{8}$ .

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8}{23} \cdot \frac{23 x}{8} = \frac{8}{23} \cdot 23$

Rewrite the expression.

$\frac{1}{23} (23 x) = \frac{8}{23} \cdot 23$

Cancel the common factor of $23$ .

Factor $23$ out of $23 x$ .

$\frac{1}{23} (23 (x)) = \frac{8}{23} \cdot 23$

Cancel the common factor.

$\frac{1}{23} (23 x) = \frac{8}{23} \cdot 23$

Rewrite the expression.

$x = \frac{8}{23} \cdot 23$

Simplify the right side.

Cancel the common factor of $23$ .

Cancel the common factor.

$x = \frac{8}{23} \cdot 23$

Rewrite the expression.

$x = 8$

Solve for x 3x-x/8=23

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