Algebra Examples

$10 = 2^{x} - 22$

Step 1

Rewrite the equation as $2^{x} - 22 = 10$ .

$2^{x} - 22 = 10$

Step 2

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

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Step 2.1

Add $22$ to both sides of the equation.

$2^{x} = 10 + 22$

Step 2.2

Add $10$ and $22$ .

$2^{x} = 32$

Step 3

Create equivalent expressions in the equation that all have equal bases.

$2^{x} = 2^{5}$

Step 4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x = 5$