Answer:
x = (-158)/87
Step-by-step explanation:
Solve for x:
38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38
Hint: | Multiply 7 and 4 together.
7×4 = 28:
38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38
Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).
Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):
28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38
Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.
38 x + 7 x + 7 x + 7 x = 59 x:
28 (x + 7) + 59 x = 38
Hint: | Distribute 28 over x + 7.
28 (x + 7) = 28 x + 196:
28 x + 196 + 59 x = 38
Hint: | Add like terms in 59 x + 28 x + 196.
28 x + 59 x = 87 x:
87 x + 196 = 38
Hint: | Isolate terms with x to the left hand side.
Subtract 196 from both sides:
87 x + (196 - 196) = 38 - 196
Hint: | Look for the difference of two identical terms.
196 - 196 = 0:
87 x = 38 - 196
Hint: | Evaluate 38 - 196.
38 - 196 = -158:
87 x = -158
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 87 x = -158 by 87:
(87 x)/87 = (-158)/87
Hint: | Any nonzero number divided by itself is one.
87/87 = 1:
Answer: x = (-158)/87
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