Write in y=mx+b Form 6x-3(x+2)=2y-x

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

Step 1

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Step 2

Rewrite in slope-intercept form.

Simplify the left side.

Simplify $6 x - 3 (x + 2)$ .

Simplify each term.

Apply the distributive property.

$6 x - 3 x - 3 \cdot 2 = 2 y - x$

Multiply $- 3$ by $2$ .

$6 x - 3 x - 6 = 2 y - x$

Subtract $3 x$ from $6 x$ .

$3 x - 6 = 2 y - x$

Rewrite the equation as $2 y - x = 3 x - 6$ .

$2 y - x = 3 x - 6$

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

Add $x$ to both sides of the equation.

$2 y = 3 x - 6 + x$

Add $3 x$ and $x$ .

$2 y = 4 x - 6$

Divide each term in $2 y = 4 x - 6$ by $2$ and simplify.

Divide each term in $2 y = 4 x - 6$ by $2$ .

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{- 6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{- 6}{2}$

Divide $y$ by $1$ .

$y = \frac{4 x}{2} + \frac{- 6}{2}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $4$ and $2$ .

Factor $2$ out of $4 x$ .

$y = \frac{2 (2 x)}{2} + \frac{- 6}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = \frac{2 (2 x)}{2 (1)} + \frac{- 6}{2}$

Cancel the common factor.

$y = \frac{2 (2 x)}{2 \cdot 1} + \frac{- 6}{2}$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{- 6}{2}$

Divide $2 x$ by $1$ .

$y = 2 x + \frac{- 6}{2}$

Divide $- 6$ by $2$ .

$y = 2 x - 3$

Write in y=mx+b Form 6x-3(x+2)=2y-x

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