Basic Math Examples

$3 (h - 4) = - 0.5 (24 - 6 h)$

Step 1

Simplify $3 (h - 4)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (h - 4) = - 0.5 (24 - 6 h)$

Step 1.2

Simplify by adding zeros.

$3 (h - 4) = - 0.5 (24 - 6 h)$

Step 1.3

Apply the distributive property.

$3 h + 3 \cdot - 4 = - 0.5 (24 - 6 h)$

Step 1.4

Multiply $3$ by $- 4$ .

$3 h - 12 = - 0.5 (24 - 6 h)$

Step 2

Simplify $- 0.5 (24 - 6 h)$ .

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Step 2.1

Apply the distributive property.

$3 h - 12 = - 0.5 \cdot 24 - 0.5 (- 6 h)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $- 0.5$ by $24$ .

$3 h - 12 = - 12 - 0.5 (- 6 h)$

Step 2.2.2

Multiply $- 6$ by $- 0.5$ .

$3 h - 12 = - 12 + 3 h$

Step 3

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

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Step 3.1

Subtract $3 h$ from both sides of the equation.

$3 h - 12 - 3 h = - 12$

Step 3.2

Subtract $3 h$ from $3 h$ .

$0 h - 12 = - 12$

Step 3.3

Multiply $0$ by $h$ .

$0 - 12 = - 12$

Step 3.4

Subtract $12$ from $0$ .

$- 12 = - 12$

Step 4

Since $- 12 = - 12$ , the equation will always be true for any value of $h$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$