Question

Write and upload an algebraic proof for the given equation.

Given: 4x + 10 = 3(2x - 12)

Prove: x = 23

Answer 1

We can use the distributive property, and the addition, division, and symmetric properties of equality to rewrite the equation to x=23.

Explanation:

Using the distributive property, we can expand the right side to give ...

4x +10 = 6x -36

Using the addition property of equality, we can add 36-4x to both sides of the equation:

4x +10 +36 -4x = 6x -36 +36 -4x

46 = 2x . . . the result of collecting terms

Using the division property of equality, we can divide both sides of the equation by 2:

46/2 = 2x/2

23 = x

Using the symmetric property of equality, we can rewrite this as ...

x = 23