Question

Solve the equation.
5-7 x=2(1-4 x)
x=

Answer 1

To solve the equation 5-7x=2(1-4x), distribute the 2, combine like terms, simplify and then divide by the coefficient of x to get that x equals 3.

Step-by-step explanation:

To solve the equation 5 - 7x = 2(1 - 4x), let's follow the steps below:

1. Distribute the 2 on the right side of the equation: 5 - 7x = 2 - 8x.
2. Move all the terms containing x to one side and the constant terms to the other: 7x - 8x = 2 - 5.
3. Simplify the equation: -x = -3.
4. Divide both sides by -1 to get the solution for x: x = 3.

Note that when working with equations, it's important to perform the same operation on both sides to maintain the equality, which we did in each step above.