Question

Complete the following algebraic proof:

Given: -10x + 11 = 4x + 3(1 - 2x); Prove: x = 1

Options:
1. x = 2
2. x = 0
3. x = 3
4. x = 1

Answer 1

To solve the algebraic proof, we simplify the equation and isolate x.

Step-by-step explanation:

We can start by simplifying the given equation:

-10x + 11 = 4x + 3(1 - 2x)

Next, we can distribute 3 to (1 - 2x):

-10x + 11 = 4x + 3 - 6x

Combine like terms:

-10x + 11 = -2x + 3

Add 2x to both sides:

-10x + 2x + 11 = -2x + 2x + 3

-8x + 11 = 3

Subtract 11 from both sides:

-8x + 11 - 11 = 3 - 11

-8x = -8

Divide both sides by -8:

x = -8 / -8

x = 1