Solve for x 5(1-6x)+1=6x

$5 (1 - 6 x) + 1 = 6 x$

Simplify $5 (1 - 6 x) + 1$ .

Simplify each term.

Apply the distributive property.

$5 \cdot 1 + 5 (- 6 x) + 1 = 6 x$

Multiply $5$ by $1$ .

$5 + 5 (- 6 x) + 1 = 6 x$

Multiply $- 6$ by $5$ .

$5 - 30 x + 1 = 6 x$

Add $5$ and $1$ .

$- 30 x + 6 = 6 x$

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

Subtract $6 x$ from both sides of the equation.

$- 30 x + 6 - 6 x = 0$

Subtract $6 x$ from $- 30 x$ .

$- 36 x + 6 = 0$

Subtract $6$ from both sides of the equation.

$- 36 x = - 6$

Divide each term in $- 36 x = - 6$ by $- 36$ and simplify.

Divide each term in $- 36 x = - 6$ by $- 36$ .

$\frac{- 36 x}{- 36} = \frac{- 6}{- 36}$

Simplify the left side.

Cancel the common factor of $- 36$ .

Cancel the common factor.

$\frac{- 36 x}{- 36} = \frac{- 6}{- 36}$

Divide $x$ by $1$ .

$x = \frac{- 6}{- 36}$

Simplify the right side.

Cancel the common factor of $- 6$ and $- 36$ .

Factor $- 6$ out of $- 6$ .

$x = \frac{- 6 (1)}{- 36}$

Cancel the common factors.

Factor $- 6$ out of $- 36$ .

$x = \frac{- 6 \cdot 1}{- 6 \cdot 6}$

Cancel the common factor.

$x = \frac{- 6 \cdot 1}{- 6 \cdot 6}$

Rewrite the expression.

$x = \frac{1}{6}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{6}$

Decimal Form:

$x = 0.1\overline{6}$