Finite Math Examples

$5 (x - 2) - 3 = - 5 x + 10 x - 17$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Add $5 x$ to both sides of the equation.

$5 (x - 2) - 3 + 5 x = 10 x - 17$

Step 1.2

Subtract $10 x$ from both sides of the equation.

$5 (x - 2) - 3 + 5 x - 10 x = - 17$

Step 1.3

Add $17$ to both sides of the equation.

$5 (x - 2) - 3 + 5 x - 10 x + 17 = 0$

Step 2

Simplify $5 (x - 2) - 3 + 5 x - 10 x + 17$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$5 x + 5 \cdot - 2 - 3 + 5 x - 10 x + 17 = 0$

Step 2.1.2

Multiply $5$ by $- 2$ .

$5 x - 10 - 3 + 5 x - 10 x + 17 = 0$

Step 2.2

Add $5 x$ and $5 x$ .

$10 x - 10 - 3 - 10 x + 17 = 0$

Step 2.3

Combine the opposite terms in $10 x - 10 - 3 - 10 x + 17$ .

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Step 2.3.1

Subtract $10 x$ from $10 x$ .

$0 - 10 - 3 + 17 = 0$

Step 2.3.2

Subtract $10$ from $0$ .

$- 10 - 3 + 17 = 0$

Step 2.4

Subtract $3$ from $- 10$ .

$- 13 + 17 = 0$

Step 2.5

Add $- 13$ and $17$ .

$4 = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.