First write out your original equation.

Then use the law of exponents(power of a power) to simplify.

(Multiply the numerator and denominator exponents by the outside power.)
The answer is 4 to the 21st over 5 to the 6th.
X(x + 3) + 34 = (x + 5)(x + 2)
First, expand to remove parentheses.
Second, add '2x + 5x' to get '7x'.
Third, cancel out '

' on both sides.
Fourth, subtract '3x' from both sides.
Fifth, subtract '7x - 3x' to get '4x'.
Sixth, subtract '10' from both sides.
Seventh, subtract '34 - 10' to get '24'.
Eighth, divide both sides by '4', leaving the 'x' by itself.
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
Tenth, switch your sides to get the answer.

Answer:
x = 6
Answer:
4 - 2 - 3 - 1 - 5
Step-by-step explanation:
The substitute method consists of the following steps:
- Solve for either x or y in one of the equations.
- Substitute the expression you got into the other equation
- Simplify and solve for the variable that remains.
- Back substitute and solve for the first variable.
- Check your solution
So,
Home ---- gym = 3.6 mi.
gym ---- store = .7 mi.
store ----- home = x
3.6 + .7 + x = 7.2 mi.
Collect Like Terms
4.3 + x = 7.2
Subtract 4.3 from both sides
x = 2.9
The distance from the store to her home is 2.9 miles.