Pre-Algebra Examples

$3 x - 5 = - 2 x + 10$

Step 1

Move all terms containing

$x$ to the left side of the equation.

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Step 1.1

Add

$2 x$ to both sides of the equation.

$3 x - 5 + 2 x = 10$

Step 1.2

Add

$3 x$ and

$2 x$ .

$5 x - 5 = 10$

$5 x - 5 = 10$

Step 2

Move all terms not containing

$x$ to the right side of the equation.

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Step 2.1

Add

$5$ to both sides of the equation.

$5 x = 10 + 5$

Step 2.2

Add

$10$ and

$5$ .

$5 x = 15$

$5 x = 15$

Step 3

Divide each term in

$5 x = 15$ by

$5$ and simplify.

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Step 3.1

Divide each term in

$5 x = 15$ by

$5$ .

$\frac{5 x}{5} = \frac{15}{5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{15}{5}$

Step 3.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{15}{5}$

$x = \frac{15}{5}$

$x = \frac{15}{5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$15$ by

$5$ .

$x = 3$

$x = 3$

$x = 3$

$3 x - 5 = - 2 x + 10$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$