Algebra Examples

3 x - 5 = 7

$3 x - 5 = 7$

Step 1

Move all terms not containing

x

$x$ to the right side of the equation.

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Step 1.1

Add

5

$5$ to both sides of the equation.

3 x = 7 + 5

$3 x = 7 + 5$

Step 1.2

Add

7

$7$ and

5

$5$ .

3 x = 12

$3 x = 12$

3 x = 12

$3 x = 12$

Step 2

Divide each term in

3 x = 12

$3 x = 12$ by

3

$3$ and simplify.

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Step 2.1

Divide each term in

3 x = 12

$3 x = 12$ by

3

$3$ .

\frac{3 x}{3} = \frac{12}{3}

$\frac{3 x}{3} = \frac{12}{3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

3

$3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{12}{3}$

Step 2.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{12}{3}$

$x = \frac{12}{3}$

$x = \frac{12}{3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide

$12$ by

$3$ .

$x = 4$

$x = 4$

$x = 4$

$3 x - 5 = 7$

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