Solve for x 4kx+10kx=7

$4 k x + 10 k x = 7$

Add $4 k x$ and $10 k x$ .

$14 k x = 7$

Divide each term in $14 k x = 7$ by $14 k$ and simplify.

Divide each term in $14 k x = 7$ by $14 k$ .

$\frac{14 k x}{14 k} = \frac{7}{14 k}$

Simplify the left side.

Cancel the common factor of $14$ .

Cancel the common factor.

$\frac{14 k x}{14 k} = \frac{7}{14 k}$

Rewrite the expression.

$\frac{k x}{k} = \frac{7}{14 k}$

$\frac{k x}{k} = \frac{7}{14 k}$

Cancel the common factor of $k$ .

Cancel the common factor.

$\frac{k x}{k} = \frac{7}{14 k}$

Divide $x$ by $1$ .

$x = \frac{7}{14 k}$

$x = \frac{7}{14 k}$

$x = \frac{7}{14 k}$

Simplify the right side.

Cancel the common factor of $7$ and $14$ .

Factor $7$ out of $7$ .

$x = \frac{7 (1)}{14 k}$

Cancel the common factors.

Factor $7$ out of $14 k$ .

$x = \frac{7 (1)}{7 (2 k)}$

Cancel the common factor.

$x = \frac{7 \cdot 1}{7 (2 k)}$

Rewrite the expression.

$x = \frac{1}{2 k}$

$x = \frac{1}{2 k}$

$x = \frac{1}{2 k}$

$x = \frac{1}{2 k}$

$x = \frac{1}{2 k}$

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