Solve for x 14-12x+39x-18x=256-60x-657x

$14 - 12 x + 39 x - 18 x = 256 - 60 x - 657 x$

Step 1

Simplify $14 - 12 x + 39 x - 18 x$ .

Add $- 12 x$ and $39 x$ .

$14 + 27 x - 18 x = 256 - 60 x - 657 x$

Subtract $18 x$ from $27 x$ .

$14 + 9 x = 256 - 60 x - 657 x$

Step 2

Subtract $657 x$ from $- 60 x$ .

$14 + 9 x = 256 - 717 x$

Step 3

Move all terms containing $x$ to the left side of the equation.

Add $717 x$ to both sides of the equation.

$14 + 9 x + 717 x = 256$

Add $9 x$ and $717 x$ .

$14 + 726 x = 256$

Step 4

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

Subtract $14$ from both sides of the equation.

$726 x = 256 - 14$

Subtract $14$ from $256$ .

$726 x = 242$

Step 5

Divide each term in $726 x = 242$ by $726$ and simplify.

Divide each term in $726 x = 242$ by $726$ .

$\frac{726 x}{726} = \frac{242}{726}$

Simplify the left side.

Cancel the common factor of $726$ .

Cancel the common factor.

$\frac{726 x}{726} = \frac{242}{726}$

Divide $x$ by $1$ .

$x = \frac{242}{726}$

Simplify the right side.

Cancel the common factor of $242$ and $726$ .

Factor $242$ out of $242$ .

$x = \frac{242 (1)}{726}$

Cancel the common factors.

Factor $242$ out of $726$ .

$x = \frac{242 \cdot 1}{242 \cdot 3}$

Cancel the common factor.

$x = \frac{242 \cdot 1}{242 \cdot 3}$

Rewrite the expression.

$x = \frac{1}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{3}$

Decimal Form:

$x = 0.\overline{3}$

Solve for x 14-12x+39x-18x=256-60x-657x

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