Question

Sue claims that the solution to the equation 12x-3(5+4x)=7x+20 is x =-5 she shows the steps below to justify her solution

Answer 1

The Mathematics question involves solving an algebraic equation, which has been verified step-by-step to confirm Sue's claim that the solution is x = -5 is correct.

Step-by-step explanation:

The subject of this question is Mathematics at the high school level. The equation in question is 12x - 3(5 + 4x) = 7x + 20, and we need to check whether Sue's claim that the solution is x = -5 is correct.

To verify Sue's claim, let's solve the equation step-by-step:

1. Distribute the -3 across the parentheses: 12x - 3*5 - 3*4x = 7x + 20 which simplifies to 12x - 15 - 12x = 7x + 20.
2. Combine like terms: The 12x and -12x cancel each other out, resulting in -15 = 7x + 20.
3. Now, isolate the variable x: Subtract 20 from both sides to get -35 = 7x.
4. Finally, divide both sides by 7 to find x: x = -35 / 7, which simplifies to x = -5.

Sue's claim that the solution is x = -5 is correct.

Answer 2

Sue is correct and I did the steps below.

Step-by-step explanation:

12x-3(5+4x)=7x+20

12x-15-12x=7x+20

-15=7x+20

-35=7x

-5=7