Respuesta :
The equation 2x - 12 = 2(x-10)-87 has no solutions.
Given: To find the value of x: 2x - 12 = 2(x - 10) - 87
What are algebraic expressions?
Algebraic expressions are sequences or combinations of characters containing letters, numbers, symbols, operators, and variables which are used to derive a certain relation among all of them.
What is an algebraic equation?
When an algebraic expression has a value it becomes an algebraic equation. The algebraic equation helps to make a relation between different variables for a problem.
Let's solve the question.
2x - 12 = 2(x - 10) - 87
Adding 12 on both sides:
2x - 12 + 12 = 2(x-10) - 87 + 12
=> 2x = 2(x -10) - 75
=> 2x = 2x - 20 - 75
=> 2x = 2x - 95
Adding -2x on both sides:
2x - 2x = 2x - 95 - 2x
0 = -95
This is contradictory.
The equation is independent of x, and 0 = -95 is false. Therefore, the equation has no solutions.
Hence the equation 2x - 12 = 2(x-10)-87 has no solutions.
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