Solve for x 4=7+x+6x

$4 = 7 + x + 6 x$

Step 1

Rewrite the equation as $7 + x + 6 x = 4$ .

$7 + x + 6 x = 4$

Step 2

Add $x$ and $6 x$ .

$7 + 7 x = 4$

Step 3

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

Subtract $7$ from both sides of the equation.

$7 x = 4 - 7$

Subtract $7$ from $4$ .

$7 x = - 3$

Step 4

Divide each term in $7 x = - 3$ by $7$ and simplify.

Divide each term in $7 x = - 3$ by $7$ .

$\frac{7 x}{7} = \frac{- 3}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 3}{7}$

Divide $x$ by $1$ .

$x = \frac{- 3}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{3}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{3}{7}$

Decimal Form:

$x = - 0.\overline{428571}$