Algebra Examples

$5 x - (2 x - 10) = 35$

Step 1

Simplify $5 x - (2 x - 10)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 x - (2 x) - - 10 = 35$

Step 1.1.2

Multiply $2$ by $- 1$ .

$5 x - 2 x - - 10 = 35$

Step 1.1.3

Multiply $- 1$ by $- 10$ .

$5 x - 2 x + 10 = 35$

Step 1.2

Subtract $2 x$ from $5 x$ .

$3 x + 10 = 35$

Step 2

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

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Step 2.1

Subtract $10$ from both sides of the equation.

$3 x = 35 - 10$

Step 2.2

Subtract $10$ from $35$ .

$3 x = 25$

Step 3

Divide each term in $3 x = 25$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x = 25$ by $3$ .

$\frac{3 x}{3} = \frac{25}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{25}{3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{25}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{25}{3}$

Decimal Form:

$x = 8.\overline{3}$

Mixed Number Form:

$x = 8 \frac{1}{3}$