Solve for x 42dx-7dx=70f

$42 d x - 7 d x = 70 f$

Step 1

Subtract $7 d x$ from $42 d x$ .

$35 d x = 70 f$

Step 2

Divide each term in $35 d x = 70 f$ by $35 d$ and simplify.

Divide each term in $35 d x = 70 f$ by $35 d$ .

$\frac{35 d x}{35 d} = \frac{70 f}{35 d}$

Simplify the left side.

Cancel the common factor of $35$ .

Cancel the common factor.

$\frac{35 d x}{35 d} = \frac{70 f}{35 d}$

Rewrite the expression.

$\frac{d x}{d} = \frac{70 f}{35 d}$

$\frac{d x}{d} = \frac{70 f}{35 d}$

Cancel the common factor of $d$ .

Cancel the common factor.

$\frac{d x}{d} = \frac{70 f}{35 d}$

Divide $x$ by $1$ .

$x = \frac{70 f}{35 d}$

$x = \frac{70 f}{35 d}$

$x = \frac{70 f}{35 d}$

Simplify the right side.

Cancel the common factor of $70$ and $35$ .

Factor $35$ out of $70 f$ .

$x = \frac{35 (2 f)}{35 d}$

Cancel the common factors.

Factor $35$ out of $35 d$ .

$x = \frac{35 (2 f)}{35 (d)}$

Cancel the common factor.

$x = \frac{35 (2 f)}{35 d}$

Rewrite the expression.

$x = \frac{2 f}{d}$

$x = \frac{2 f}{d}$

$x = \frac{2 f}{d}$

$x = \frac{2 f}{d}$

$x = \frac{2 f}{d}$

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