Solve for x 6(7x-1)=2(3x+11)

$6 (7 x - 1) = 2 (3 x + 11)$

Simplify $6 (7 x - 1)$ .

Start simplifying.

$0 + 0 + 6 (7 x - 1) = 2 (3 x + 11)$

Simplify by adding zeros.

$6 (7 x - 1) = 2 (3 x + 11)$

Apply the distributive property.

$6 (7 x) + 6 \cdot - 1 = 2 (3 x + 11)$

Multiply.

Multiply $7$ by $6$ .

$42 x + 6 \cdot - 1 = 2 (3 x + 11)$

Multiply $6$ by $- 1$ .

$42 x - 6 = 2 (3 x + 11)$

Simplify $2 (3 x + 11)$ .

Apply the distributive property.

$42 x - 6 = 2 (3 x) + 2 \cdot 11$

Multiply.

Multiply $3$ by $2$ .

$42 x - 6 = 6 x + 2 \cdot 11$

Multiply $2$ by $11$ .

$42 x - 6 = 6 x + 22$

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

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

$42 x - 6 - 6 x = 22$

Subtract $6 x$ from $42 x$ .

$36 x - 6 = 22$

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

Add $6$ to both sides of the equation.

$36 x = 22 + 6$

Add $22$ and $6$ .

$36 x = 28$

Divide each term in $36 x = 28$ by $36$ and simplify.

Divide each term in $36 x = 28$ by $36$ .

$\frac{36 x}{36} = \frac{28}{36}$

Simplify the left side.

Cancel the common factor of $36$ .

Cancel the common factor.

$\frac{36 x}{36} = \frac{28}{36}$

Divide $x$ by $1$ .

$x = \frac{28}{36}$

Simplify the right side.

Cancel the common factor of $28$ and $36$ .

Factor $4$ out of $28$ .

$x = \frac{4 (7)}{36}$

Cancel the common factors.

Factor $4$ out of $36$ .

$x = \frac{4 \cdot 7}{4 \cdot 9}$

Cancel the common factor.

$x = \frac{4 \cdot 7}{4 \cdot 9}$

Rewrite the expression.

$x = \frac{7}{9}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{9}$

Decimal Form:

$x = 0.\overline{7}$

Solve for x 6(7x-1)=2(3x+11)

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