Answer:
x = 1
Step-by-step explanation:
Solve for x:
4 (2 x + 6) = 5 (x + 5) + 2
Hint: | Distribute 5 over x + 5.
5 (x + 5) = 5 x + 25:
4 (2 x + 6) = 5 x + 25 + 2
Hint: | Group like terms in 5 x + 2 + 25.
Grouping like terms, 5 x + 2 + 25 = 5 x + (25 + 2):
4 (2 x + 6) = 5 x + (25 + 2)
Hint: | Evaluate 25 + 2.
25 + 2 = 27:
4 (2 x + 6) = 5 x + 27
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
8 x + 24 = 5 x + 27
Hint: | Move terms with x to the left hand side.
Subtract 5 x from both sides:
(8 x - 5 x) + 24 = (5 x - 5 x) + 27
Hint: | Combine like terms in 8 x - 5 x.
8 x - 5 x = 3 x:
3 x + 24 = (5 x - 5 x) + 27
Hint: | Look for the difference of two identical terms.
5 x - 5 x = 0:
3 x + 24 = 27
Hint: | Isolate terms with x to the left hand side.
Subtract 24 from both sides:
3 x + (24 - 24) = 27 - 24
Hint: | Look for the difference of two identical terms.
24 - 24 = 0:
3 x = 27 - 24
Hint: | Evaluate 27 - 24.
27 - 24 = 3:
3 x = 3
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 x = 3 by 3:
(3 x)/3 = 3/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
x = 3/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
Answer: x = 1
