Answer:
There is one solution for the equation.
Exact Form:
Decimal Form:
Mixed Number Form:
Step-by-step explanation:
Combine and x.
Move all terms containing x to the left side of the equation.
Subtract 4x from both sides of the equation.
Simplify the left side of the equation.
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of 2, by multiplying each by an appropriate factor of 1.
Combine
Multiply 2 by 1.
Combine the numerators over the denominator.
<u>Simplify each term</u>
Simplify the numerator
Factor x out of x - 4x * 2
Raise x to the power of 1.
Factor x out of
Factor x out of -4x * 2
Factor x out of x * 1 + x (-4 * 2).
Multiply -4 by 2.
Subtract 8 from 1.
Move -7 to the left of x.
Move the negative in front of the fraction.
Move all terms not containing x to the right side of the equation.
Subtract 12 from both sides of the equation.
Subtract 12 from -1.
Multiply both sides of the equation by .
<u>Simplify both sides of the equation.</u>
Simplify the left side
<em>Cancel the common factor of 2.</em>
Move the leading negative in into the numerator.
Move the leading negative in into the numerator.
Factor out the greatest common factor 2.
Cancel the common factor
<em>Cancel the common factor of 7.</em>
Factor out the greatest common factor 7.
Cancel the common factor.
<u>Simplify</u>
Multiply and .
Multiply -1 by -1.
Multiply x by 1.
Divide x by 1.
Multiply
Multiply -13 by -1.
Combine 13 and .
Multiply 13 by 2.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: