Answer:
x=3
Step-by-step explanation:
Simplifying
2(6x + 9 + -3x) = 5x + 21
Reorder the terms:
2(9 + 6x + -3x) = 5x + 21
Combine like terms: 6x + -3x = 3x
2(9 + 3x) = 5x + 21
(9 * 2 + 3x * 2) = 5x + 21
(18 + 6x) = 5x + 21
Reorder the terms:
18 + 6x = 21 + 5x
Solving
18 + 6x = 21 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
18 + 6x + -5x = 21 + 5x + -5x
Combine like terms: 6x + -5x = 1x
18 + 1x = 21 + 5x + -5x
Combine like terms: 5x + -5x = 0
18 + 1x = 21 + 0
18 + 1x = 21
Add '-18' to each side of the equation.
18 + -18 + 1x = 21 + -18
Combine like terms: 18 + -18 = 0
0 + 1x = 21 + -18
1x = 21 + -18
Combine like terms: 21 + -18 = 3
1x = 3
Divide each side by '1'.
x = 3
Answer:
The number is -79.
Step-by-step explanation:
Let's set up equation for the given information.
Let the number as 'x'
Negative 1 times the sum of one and seven times a number x could be written as -1(1+7 x).
Now, 6 times the difference of negative seven and a number could be written as
6(-7-x)
Now,
-1(1+7 x) decreased by 6(-7-x) equals 36
So, we can set up equation as
-1(1+7 x)-6(-7-x)=36
Solve the equation for x
-1-7 x-42+6 x=36
Combine like terms
-x-43 =36
Add both sides 43
-x=79
Divide both sides by -1.
x=79
Answer:
5.75 feet is the same as 5 ft 9 inches (because 12 in = 1 ft and 0.75 * 12 = 9 so its 9 in). 7 ft 10 in - 5 ft 9 in = 2 ft 1 in.
