Algebra Examples

$9.6 q - 5.4 - 2.6 q = 2 (3.5 q - 2.7)$

Step 1

Subtract $2.6 q$ from $9.6 q$ .

$7 q - 5.4 = 2 (3.5 q - 2.7)$

Step 2

Simplify $2 (3.5 q - 2.7)$ .

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Step 2.1

Apply the distributive property.

$7 q - 5.4 = 2 (3.5 q) + 2 \cdot - 2.7$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $3.5$ by $2$ .

$7 q - 5.4 = 7 q + 2 \cdot - 2.7$

Step 2.2.2

Multiply $2$ by $- 2.7$ .

$7 q - 5.4 = 7 q - 5.4$

Step 3

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

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Step 3.1

Subtract $7 q$ from both sides of the equation.

$7 q - 5.4 - 7 q = - 5.4$

Step 3.2

Subtract $7 q$ from $7 q$ .

$0 q - 5.4 = - 5.4$

Step 3.3

Multiply $0$ by $q$ .

$0 - 5.4 = - 5.4$

Step 3.4

Subtract $5.4$ from $0$ .

$- 5.4 = - 5.4$

Step 4

Since $- 5.4 = - 5.4$ , the equation will always be true for any value of $q$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$