Subtract from both sides of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Move to the right side of the equation by adding it to both sides.

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

Move all terms containing to the left side of the equation.

Add to both sides of the equation.

Add and .

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Solve for x 5+20*2^(2-3x)=10*2^(-2x)+5