Write in y=mx+b Form 5x-2(x+1)=8y-2x

$5 x - 2 (x + 1) = 8 y - 2 x$

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 $5 x - 2 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$5 x - 2 x - 2 \cdot 1 = 8 y - 2 x$

Multiply $- 2$ by $1$ .

$5 x - 2 x - 2 = 8 y - 2 x$

Subtract $2 x$ from $5 x$ .

$3 x - 2 = 8 y - 2 x$

Rewrite the equation as $8 y - 2 x = 3 x - 2$ .

$8 y - 2 x = 3 x - 2$

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

Add $2 x$ to both sides of the equation.

$8 y = 3 x - 2 + 2 x$

Add $3 x$ and $2 x$ .

$8 y = 5 x - 2$

Divide each term in $8 y = 5 x - 2$ by $8$ and simplify.

Divide each term in $8 y = 5 x - 2$ by $8$ .

$\frac{8 y}{8} = \frac{5 x}{8} + \frac{- 2}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{5 x}{8} + \frac{- 2}{8}$

Divide $y$ by $1$ .

$y = \frac{5 x}{8} + \frac{- 2}{8}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 2$ and $8$ .

Factor $2$ out of $- 2$ .

$y = \frac{5 x}{8} + \frac{2 (- 1)}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$y = \frac{5 x}{8} + \frac{2 \cdot - 1}{2 \cdot 4}$

Cancel the common factor.

$y = \frac{5 x}{8} + \frac{2 \cdot - 1}{2 \cdot 4}$

Rewrite the expression.

$y = \frac{5 x}{8} + \frac{- 1}{4}$

Move the negative in front of the fraction.

$y = \frac{5 x}{8} - \frac{1}{4}$

Reorder terms.

$y = \frac{5}{8} x - \frac{1}{4}$

Write in y=mx+b Form 5x-2(x+1)=8y-2x

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