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4 votes
Solve the equation: (20 - 4(x - 5) = 2x + 16.

User Madoc
by
7.8k points

2 Answers

6 votes

Answer:

x = 4

Step-by-step explanation:

(20 - 4(x - 5) = 2x + 16

20 - 4x + 20 = 2x + 16

40 - 16 = 2x + 4x

24 = 6x

x = 24/6

x = 4

User Raamesh Keerthi
by
8.2k points
2 votes

Final answer:

To solve the equation (20 - 4(x - 5) = 2x + 16, distribute the -4 to the terms inside the parentheses, combine like terms, isolate the variable terms, and solve for x.

Step-by-step explanation:

To solve the equation (20 - 4(x - 5) = 2x + 16, you need to follow these steps:

  1. Distribute the -4 to the terms inside the parentheses to get 20 - 4x + 20 = 2x + 16.
  2. Combine like terms on both sides of the equation to simplify it. 40 - 4x = 2x + 16.
  3. Isolate the variable terms on one side and the constant terms on the other side. Add 4x to both sides to get 40 = 6x + 16.
  4. Subtract 16 from both sides to get 24 = 6x.
  5. Divide both sides by 6 to solve for x. x = 4.

User Mtrw
by
8.5k points