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МатематикаВопрос:
Solve the equation: -5x = 11 - 2(4x - 2)
Ответ:
Equation to solve:
-5x = 11 - 2(4x - 2)
Logical approach: To solve this linear equation, we first need to simplify the right side by distributing the -2. Then, we'll gather all terms with 'x' on one side of the equation and constant terms on the other to isolate 'x'.
Step-by-step solution:
- Step 1: Distribute the -2 on the right side.
-5x = 11 - (2 * 4x) - (2 * -2)
-5x = 11 - 8x + 4 - Step 2: Combine like terms on the right side.
-5x = (11 + 4) - 8x
-5x = 15 - 8x - Step 3: Move all 'x' terms to the left side by adding 8x to both sides.
-5x + 8x = 15 - 8x + 8x
3x = 15 - Step 4: Isolate 'x' by dividing both sides by 3.
3x / 3 = 15 / 3
x = 5
Answer: x = 5
