Finite Math Examples

$0.1 (x + 80) + 0.2 x = 8 + 0.3 x$

Step 1

Simplify $0.1 (x + 80) + 0.2 x$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$0.1 x + 0.1 \cdot 80 + 0.2 x = 8 + 0.3 x$

Step 1.1.2

Multiply $0.1$ by $80$ .

$0.1 x + 8 + 0.2 x = 8 + 0.3 x$

Step 1.2

Add $0.1 x$ and $0.2 x$ .

$0.3 x + 8 = 8 + 0.3 x$

Step 2

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

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Step 2.1

Subtract $0.3 x$ from both sides of the equation.

$0.3 x + 8 - 0.3 x = 8$

Step 2.2

Subtract $0.3 x$ from $0.3 x$ .

$0 x + 8 = 8$

Step 2.3

Multiply $0$ by $x$ .

$0 + 8 = 8$

Step 2.4

Add $0$ and $8$ .

$8 = 8$

Step 3

Since $8 = 8$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$