Write in y=mx+b Form 6x-2(x+2)=5y-3x

$6 x - 2 (x + 2) = 5 y - 3 x$

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

Simplify each term.

Apply the distributive property.

$6 x - 2 x - 2 \cdot 2 = 5 y - 3 x$

Multiply $- 2$ by $2$ .

$6 x - 2 x - 4 = 5 y - 3 x$

Subtract $2 x$ from $6 x$ .

$4 x - 4 = 5 y - 3 x$

Rewrite the equation as $5 y - 3 x = 4 x - 4$ .

$5 y - 3 x = 4 x - 4$

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

Add $3 x$ to both sides of the equation.

$5 y = 4 x - 4 + 3 x$

Add $4 x$ and $3 x$ .

$5 y = 7 x - 4$

Divide each term in $5 y = 7 x - 4$ by $5$ and simplify.

Divide each term in $5 y = 7 x - 4$ by $5$ .

$\frac{5 y}{5} = \frac{7 x}{5} + \frac{- 4}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{7 x}{5} + \frac{- 4}{5}$

Divide $y$ by $1$ .

$y = \frac{7 x}{5} + \frac{- 4}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{7 x}{5} - \frac{4}{5}$

Reorder terms.

$y = \frac{7}{5} x - \frac{4}{5}$