Pre-Algebra Examples

$5 x - y + 4 z - 50$ , $x + 2 y + 3 z - 47$ , $2 x - y - z - 5$

Step 1

Add $5 x$ and $x$ .

$6 x - y + 4 z - 50 + 2 y + 3 z - 47 + 2 x - y - z - 5$

Step 2

Add $6 x$ and $2 x$ .

$8 x - y + 4 z - 50 + 2 y + 3 z - 47 - y - z - 5$

Step 3

Add $- y$ and $2 y$ .

$8 x + y + 4 z - 50 + 3 z - 47 - y - z - 5$

Step 4

Subtract $y$ from $y$ .

$8 x + 4 z - 50 + 3 z - 47 + 0 - z - 5$

Step 5

Add $8 x$ and $0$ .

$8 x + 4 z - 50 + 3 z - 47 - z - 5$

Step 6

Add $4 z$ and $3 z$ .

$8 x + 7 z - 50 - 47 - z - 5$

Step 7

Subtract $z$ from $7 z$ .

$8 x + 6 z - 50 - 47 - 5$

Step 8

Subtract $47$ from $- 50$ .

$8 x + 6 z - 97 - 5$

Step 9

Subtract $5$ from $- 97$ .

$8 x + 6 z - 102$

Step 10

Factor $2$ out of $8 x + 6 z - 102$ .

Tap for more steps...

Step 10.1

Factor $2$ out of $8 x$ .

$2 (4 x) + 6 z - 102$

Step 10.2

Factor $2$ out of $6 z$ .

$2 (4 x) + 2 (3 z) - 102$

Step 10.3

Factor $2$ out of $- 102$ .

$2 (4 x) + 2 (3 z) + 2 (- 51)$

Step 10.4

Factor $2$ out of $2 (4 x) + 2 (3 z)$ .

$2 (4 x + 3 z) + 2 (- 51)$

Step 10.5

Factor $2$ out of $2 (4 x + 3 z) + 2 (- 51)$ .

$2 (4 x + 3 z - 51)$

Step 11

The greatest common factor $GCF$ is the term in front of the factored expression.

$2$