Algebra Examples

$\frac{2 x - 6}{2} + 3 = 10$

Step 1

Cancel the common factor of $2 x - 6$ and $2$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$\frac{2 (x) - 6}{2} + 3 = 10$

Step 1.2

Factor $2$ out of $- 6$ .

$\frac{2 (x) + 2 \cdot - 3}{2} + 3 = 10$

Step 1.3

Factor $2$ out of $2 (x) + 2 (- 3)$ .

$\frac{2 (x - 3)}{2} + 3 = 10$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $2$ .

$\frac{2 (x - 3)}{2 (1)} + 3 = 10$

Step 1.4.2

Cancel the common factor.

$\frac{2 (x - 3)}{2 \cdot 1} + 3 = 10$

Step 1.4.3

Rewrite the expression.

$\frac{x - 3}{1} + 3 = 10$

Step 1.4.4

Divide $x - 3$ by $1$ .

$x - 3 + 3 = 10$

$x - 3 + 3 = 10$

$x - 3 + 3 = 10$

Step 2

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

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Step 2.1

Add $- 3$ and $3$ .

$x + 0 = 10$

Step 2.2

Add $x$ and $0$ .

$x = 10$

$x = 10$

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