Finite Math Examples

$- 0.7 x + 0.1 = - 7.9 + 0.3 x$

Step 1

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

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Step 1.1

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

$- 0.7 x + 0.1 - 0.3 x = - 7.9$

Step 1.2

Subtract $0.3 x$ from $- 0.7 x$ .

$- 1 x + 0.1 = - 7.9$

Step 2

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

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Step 2.1

Subtract $0.1$ from both sides of the equation.

$- 1 x = - 7.9 - 0.1$

Step 2.2

Subtract $0.1$ from $- 7.9$ .

$- 1 x = - 8$

Step 3

Divide each term in $- 1 x = - 8$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- 1 x = - 8$ by $- 1$ .

$\frac{- 1 x}{- 1} = \frac{- 8}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 1$ .

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Step 3.2.1.1

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- 1 (1) x}{- 1} = \frac{- 8}{- 1}$

Step 3.2.1.2

Factor $1$ out of $- 1 (1) x$ .

$\frac{1 (- 1 \cdot 1 x)}{- 1} = \frac{- 8}{- 1}$

Step 3.2.1.3

Move the negative one from the denominator of $\frac{- 1 \cdot 1 x}{- 1}$ .

$- 1 \cdot (- 1 \cdot 1 x) = \frac{- 8}{- 1}$

Step 3.2.2

Simplify the expression.

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Step 3.2.2.1

Rewrite $- 1 \cdot (- 1 \cdot 1 x)$ as $- (- 1 \cdot 1 x)$ .

$- (- 1 \cdot 1 x) = \frac{- 8}{- 1}$

Step 3.2.2.2

Multiply $- 1$ by $1$ .

$- (- 1 x) = \frac{- 8}{- 1}$

Step 3.2.2.3

Rewrite $- 1 x$ as $- x$ .

$- - x = \frac{- 8}{- 1}$

Step 3.2.3

Multiply $- - x$ .

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Step 3.2.3.1

Multiply $- 1$ by $- 1$ .

$1 x = \frac{- 8}{- 1}$

Step 3.2.3.2

Multiply $x$ by $1$ .

$x = \frac{- 8}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 8$ by $- 1$ .

$x = 8$