Pre-Algebra Examples

$- 4 = - 2.5 + 10.1 x - 2.3$

Step 1

Rewrite the equation as $- 2.5 + 10.1 x - 2.3 = - 4$ .

$- 2.5 + 10.1 x - 2.3 = - 4$

Step 2

Subtract $2.3$ from $- 2.5$ .

$10.1 x - 4.8 = - 4$

Step 3

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

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Step 3.1

Add $4.8$ to both sides of the equation.

$10.1 x = - 4 + 4.8$

Step 3.2

Add $- 4$ and $4.8$ .

$10.1 x = 0.8$

Step 4

Divide each term in $10.1 x = 0.8$ by $10.1$ and simplify.

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Step 4.1

Divide each term in $10.1 x = 0.8$ by $10.1$ .

$\frac{10.1 x}{10.1} = \frac{0.8}{10.1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $10.1$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{10.1 x}{10.1} = \frac{0.8}{10.1}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{0.8}{10.1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0.8$ by $10.1$ .

$x = 0.\overline{0792}$