Algebra Examples

$5 g + 4 (- 5 + 3 g) = 1 - g$

Step 1

Simplify $5 g + 4 (- 5 + 3 g)$ .

Tap for more steps...

Step 1.1

Simplify each term.

Tap for more steps...

Step 1.1.1

Apply the distributive property.

$5 g + 4 \cdot - 5 + 4 (3 g) = 1 - g$

Step 1.1.2

Multiply $4$ by $- 5$ .

$5 g - 20 + 4 (3 g) = 1 - g$

Step 1.1.3

Multiply $3$ by $4$ .

$5 g - 20 + 12 g = 1 - g$

Step 1.2

Add $5 g$ and $12 g$ .

$17 g - 20 = 1 - g$

Step 2

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

Tap for more steps...

Step 2.1

Add $g$ to both sides of the equation.

$17 g - 20 + g = 1$

Step 2.2

Add $17 g$ and $g$ .

$18 g - 20 = 1$

Step 3

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

Tap for more steps...

Step 3.1

Add $20$ to both sides of the equation.

$18 g = 1 + 20$

Step 3.2

Add $1$ and $20$ .

$18 g = 21$

Step 4

Divide each term in $18 g = 21$ by $18$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $18 g = 21$ by $18$ .

$\frac{18 g}{18} = \frac{21}{18}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $18$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{18 g}{18} = \frac{21}{18}$

Step 4.2.1.2

Divide $g$ by $1$ .

$g = \frac{21}{18}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Cancel the common factor of $21$ and $18$ .

Tap for more steps...

Step 4.3.1.1

Factor $3$ out of $21$ .

$g = \frac{3 (7)}{18}$

Step 4.3.1.2

Cancel the common factors.

Tap for more steps...

Step 4.3.1.2.1

Factor $3$ out of $18$ .

$g = \frac{3 \cdot 7}{3 \cdot 6}$

Step 4.3.1.2.2

Cancel the common factor.

$g = \frac{3 \cdot 7}{3 \cdot 6}$

Step 4.3.1.2.3

Rewrite the expression.

$g = \frac{7}{6}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$g = \frac{7}{6}$

Decimal Form:

$g = 1.1\overline{6}$

Mixed Number Form:

$g = 1 \frac{1}{6}$