Solve for x 5x-(x+3)=3(2-2x)+x

$5 x - (x + 3) = 3 (2 - 2 x) + x$

Step 1

Simplify $5 x - (x + 3)$ .

Simplify each term.

Apply the distributive property.

$5 x - x - 1 \cdot 3 = 3 (2 - 2 x) + x$

Multiply $- 1$ by $3$ .

$5 x - x - 3 = 3 (2 - 2 x) + x$

Subtract $x$ from $5 x$ .

$4 x - 3 = 3 (2 - 2 x) + x$

Step 2

Simplify $3 (2 - 2 x) + x$ .

Simplify each term.

Apply the distributive property.

$4 x - 3 = 3 \cdot 2 + 3 (- 2 x) + x$

Multiply $3$ by $2$ .

$4 x - 3 = 6 + 3 (- 2 x) + x$

Multiply $- 2$ by $3$ .

$4 x - 3 = 6 - 6 x + x$

Add $- 6 x$ and $x$ .

$4 x - 3 = 6 - 5 x$

Step 3

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

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

$4 x - 3 + 5 x = 6$

Add $4 x$ and $5 x$ .

$9 x - 3 = 6$

Step 4

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

Add $3$ to both sides of the equation.

$9 x = 6 + 3$

Add $6$ and $3$ .

$9 x = 9$

Step 5

Divide each term in $9 x = 9$ by $9$ and simplify.

Divide each term in $9 x = 9$ by $9$ .

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

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $9$ by $9$ .

$x = 1$

Solve for x 5x-(x+3)=3(2-2x)+x

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