Finite Math Examples

$2 (x - a) + 2 b = 3 x + a$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$2 x + 2 (- a) + 2 b = 3 x + a$

Step 1.2

Multiply $- 1$ by $2$ .

$2 x - 2 a + 2 b = 3 x + a$

Step 2

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

Tap for more steps...

Step 2.1

Subtract $3 x$ from both sides of the equation.

$2 x - 2 a + 2 b - 3 x = a$

Step 2.2

Subtract $3 x$ from $2 x$ .

$- 2 a + 2 b - x = a$

Step 3

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

Tap for more steps...

Step 3.1

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

$2 b - x = a + 2 a$

Step 3.2

Subtract $2 b$ from both sides of the equation.

$- x = a + 2 a - 2 b$

Step 3.3

Add $a$ and $2 a$ .

$- x = 3 a - 2 b$

Step 4

Divide each term in $- x = 3 a - 2 b$ by $- 1$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $- x = 3 a - 2 b$ by $- 1$ .

$\frac{- x}{- 1} = \frac{3 a}{- 1} + \frac{- 2 b}{- 1}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{3 a}{- 1} + \frac{- 2 b}{- 1}$

Step 4.2.2

Divide $x$ by $1$ .

$x = \frac{3 a}{- 1} + \frac{- 2 b}{- 1}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Simplify each term.

Tap for more steps...

Step 4.3.1.1

Move the negative one from the denominator of $\frac{3 a}{- 1}$ .

$x = - 1 \cdot (3 a) + \frac{- 2 b}{- 1}$

Step 4.3.1.2

Rewrite $- 1 \cdot (3 a)$ as $- (3 a)$ .

$x = - (3 a) + \frac{- 2 b}{- 1}$

Step 4.3.1.3

Multiply $3$ by $- 1$ .

$x = - 3 a + \frac{- 2 b}{- 1}$

Step 4.3.1.4

Move the negative one from the denominator of $\frac{- 2 b}{- 1}$ .

$x = - 3 a - 1 \cdot (- 2 b)$

Step 4.3.1.5

Rewrite $- 1 \cdot (- 2 b)$ as $- (- 2 b)$ .

$x = - 3 a - (- 2 b)$

Step 4.3.1.6

Multiply $- 2$ by $- 1$ .

$x = - 3 a + 2 b$