Solve for x 6x+(4+2x)=2x-(7x-4)+5

$6 x + (4 + 2 x) = 2 x - (7 x - 4) + 5$

Step 1

Add $6 x$ and $2 x$ .

$8 x + 4 = 2 x - (7 x - 4) + 5$

Step 2

Simplify $2 x - (7 x - 4) + 5$ .

Simplify each term.

Apply the distributive property.

$8 x + 4 = 2 x - (7 x) - - 4 + 5$

Multiply $7$ by $- 1$ .

$8 x + 4 = 2 x - 7 x - - 4 + 5$

Multiply $- 1$ by $- 4$ .

$8 x + 4 = 2 x - 7 x + 4 + 5$

Simplify by adding terms.

Subtract $7 x$ from $2 x$ .

$8 x + 4 = - 5 x + 4 + 5$

Add $4$ and $5$ .

$8 x + 4 = - 5 x + 9$

Step 3

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

Add $5 x$ to both sides of the equation.

$8 x + 4 + 5 x = 9$

Add $8 x$ and $5 x$ .

$13 x + 4 = 9$

Step 4

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

Subtract $4$ from both sides of the equation.

$13 x = 9 - 4$

Subtract $4$ from $9$ .

$13 x = 5$

Step 5

Divide each term in $13 x = 5$ by $13$ and simplify.

Divide each term in $13 x = 5$ by $13$ .

$\frac{13 x}{13} = \frac{5}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 x}{13} = \frac{5}{13}$

Divide $x$ by $1$ .

$x = \frac{5}{13}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{13}$

Decimal Form:

$x = 0.\overline{384615}$

Solve for x 6x+(4+2x)=2x-(7x-4)+5

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