Question

Find the solution for the equation.

[ 3(-2x+4)-4x-2= -20 ]

Answer 1

To solve the equation 3(-2x+4)-4x-2= -20, simplify and isolate the variable x by using the distributive property, combining like terms, and performing the necessary arithmetic operations.

Step-by-step explanation:

The given equation is 3(-2x+4)-4x-2= -20. To solve this equation, we will simplify and isolate the variable x. Here are the steps:

1. Use the distributive property to multiply 3 with the terms inside the parentheses: -6x + 12 - 4x - 2 = -20.
2. Combine like terms: -10x + 10 = -20.
3. Subtract 10 from both sides: -10x = -30.
4. Divide both sides by -10 to solve for x: x = 3.

Therefore, the solution for the equation is x = 3.