Finite Math Examples

$154 - 0.7 x = 187 - 0.85 (x + 36)$

Step 1

Simplify $187 - 0.85 (x + 36)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$154 - 0.7 x = 187 - 0.85 x - 0.85 \cdot 36$

Step 1.1.2

Multiply $- 0.85$ by $36$ .

$154 - 0.7 x = 187 - 0.85 x - 30.6$

Step 1.2

Subtract $30.6$ from $187$ .

$154 - 0.7 x = - 0.85 x + 156.4$

Step 2

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

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Step 2.1

Add $0.85 x$ to both sides of the equation.

$154 - 0.7 x + 0.85 x = 156.4$

Step 2.2

Add $- 0.7 x$ and $0.85 x$ .

$154 + 0.15 x = 156.4$

Step 3

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

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Step 3.1

Subtract $154$ from both sides of the equation.

$0.15 x = 156.4 - 154$

Step 3.2

Subtract $154$ from $156.4$ .

$0.15 x = 2.4$

Step 4

Divide each term in $0.15 x = 2.4$ by $0.15$ and simplify.

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Step 4.1

Divide each term in $0.15 x = 2.4$ by $0.15$ .

$\frac{0.15 x}{0.15} = \frac{2.4}{0.15}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.15$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.15 x}{0.15} = \frac{2.4}{0.15}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{2.4}{0.15}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $2.4$ by $0.15$ .

$x = 16$