Finite Math Examples

$- 2 (7 x - 4) + 3 (5 x - 7) - 7 = 3 - 4$

Step 1

Simplify $- 2 (7 x - 4) + 3 (5 x - 7) - 7$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$- 2 (7 x) - 2 \cdot - 4 + 3 (5 x - 7) - 7 = 3 - 4$

Step 1.1.2

Multiply $7$ by $- 2$ .

$- 14 x - 2 \cdot - 4 + 3 (5 x - 7) - 7 = 3 - 4$

Step 1.1.3

Multiply $- 2$ by $- 4$ .

$- 14 x + 8 + 3 (5 x - 7) - 7 = 3 - 4$

Step 1.1.4

Apply the distributive property.

$- 14 x + 8 + 3 (5 x) + 3 \cdot - 7 - 7 = 3 - 4$

Step 1.1.5

Multiply $5$ by $3$ .

$- 14 x + 8 + 15 x + 3 \cdot - 7 - 7 = 3 - 4$

Step 1.1.6

Multiply $3$ by $- 7$ .

$- 14 x + 8 + 15 x - 21 - 7 = 3 - 4$

Step 1.2

Simplify by adding terms.

Tap for more steps...

Step 1.2.1

Add $- 14 x$ and $15 x$ .

$x + 8 - 21 - 7 = 3 - 4$

Step 1.2.2

Simplify by subtracting numbers.

Tap for more steps...

Step 1.2.2.1

Subtract $21$ from $8$ .

$x - 13 - 7 = 3 - 4$

Step 1.2.2.2

Subtract $7$ from $- 13$ .

$x - 20 = 3 - 4$

Step 2

Subtract $4$ from $3$ .

$x - 20 = - 1$

Step 3

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

Tap for more steps...

Step 3.1

Add $20$ to both sides of the equation.

$x = - 1 + 20$

Step 3.2

Add $- 1$ and $20$ .

$x = 19$