Simple numerical terms are commonly written last. |
We need to distribute the exponent over the numerator and the denominator of the fraction. The following rule is applied: (AB)C=ACBC In our example, the numerator is equal to 4, the denominator is equal to 3 the exponent is equal to 2x−2. |
We need to distribute the exponent over the numerator and the denominator of the fraction. The following rule is applied: (AB)C=ACBC In our example, the numerator is equal to 3, the denominator is equal to 4 the exponent is equal to −x+5. |
In order to make the bases equal on both sides, we need to convert this fraction into a power. This can be done by exponentiating the fraction by an exponent that is common to both numerator and denominator. In our example the common exponent is equal to −x+5. |
In order to make the bases equal on both sides, we need to convert this fraction into a power. This can be done by exponentiating the fraction by an exponent that is common to both numerator and denominator. In our example the common exponent is equal to −(2x−2). |
This exponential equation can be rewritten as a non exponential one because the bases on both sides are equal. That means exponents −x+5 and −(2x−2) can now be equated. |
We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, the following 2 terms will change sign: −2x, 2 |
In order to solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation. In our example, - term 5, will be moved to the right side. - term −2x, will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other. |
We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, there are no negative expressions. |
We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, there are no negative expressions. |
We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms: first group: −x, 2x second group: 5, −5 |
We need to organize this expression into groups of like terms, so we can combine them easier. There are 2 groups of like terms: first group: −2x, 2x second group: 2, −5 |
We need to combine like terms in this expression by adding up all numerical coefficients and copying the literal part, if any. No numerical coefficient implies value of 1. Numerical 'like' terms will be added. There are 2 groups of like terms: first group: −x, 2x second group: 5, −5 |
We need to combine like terms in this expression by adding up all numerical coefficients and copying the literal part, if any. No numerical coefficient implies value of 1. Numerical 'like' terms will be added. There are 2 groups of like terms: first group: −2x, 2x second group: 2, −5 |