Pre-Algebra Examples

$0.11 - 0.01 (x + 1) = - 0.02 (4 - x)$

Step 1

Simplify $0.11 - 0.01 (x + 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$0.11 - 0.01 x - 0.01 \cdot 1 = - 0.02 (4 - x)$

Step 1.1.2

Multiply $- 0.01$ by $1$ .

$0.11 - 0.01 x - 0.01 = - 0.02 (4 - x)$

Step 1.2

Subtract $0.01$ from $0.11$ .

$- 0.01 x + 0.1 = - 0.02 (4 - x)$

Step 2

Simplify $- 0.02 (4 - x)$ .

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Step 2.1

Apply the distributive property.

$- 0.01 x + 0.1 = - 0.02 \cdot 4 - 0.02 (- x)$

Step 2.2

Multiply.

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Step 2.2.1

Multiply $- 0.02$ by $4$ .

$- 0.01 x + 0.1 = - 0.08 - 0.02 (- x)$

Step 2.2.2

Multiply $- 1$ by $- 0.02$ .

$- 0.01 x + 0.1 = - 0.08 + 0.02 x$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 6$

Step 4