Solve for x (25x)/5-7x=12

$\frac{25 x}{5} - 7 x = 12$

Step 1

Simplify $\frac{25 x}{5} - 7 x$ .

Cancel the common factor of $25$ and $5$ .

Factor $5$ out of $25 x$ .

$\frac{5 (5 x)}{5} - 7 x = 12$

Cancel the common factors.

Factor $5$ out of $5$ .

$\frac{5 (5 x)}{5 (1)} - 7 x = 12$

Cancel the common factor.

$\frac{5 (5 x)}{5 \cdot 1} - 7 x = 12$

Rewrite the expression.

$\frac{5 x}{1} - 7 x = 12$

Divide $5 x$ by $1$ .

$5 x - 7 x = 12$

$5 x - 7 x = 12$

$5 x - 7 x = 12$

Subtract $7 x$ from $5 x$ .

$- 2 x = 12$

$- 2 x = 12$

Step 2

Divide each term in $- 2 x = 12$ by $- 2$ and simplify.

Divide each term in $- 2 x = 12$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{12}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{12}{- 2}$

Divide $x$ by $1$ .

$x = \frac{12}{- 2}$

$x = \frac{12}{- 2}$

$x = \frac{12}{- 2}$

Simplify the right side.

Divide $12$ by $- 2$ .

$x = - 6$

$x = - 6$

$x = - 6$

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