Given the equation 2(3x − 4) = 5x + 6, solve for the variable. explain each step and justify your process. charlie solved a similar equation below. is charlie's solution correct? explain why or why not. 4x − 3 = 2(x − 1) 4x − 3 = 2x + 2 2x − 3 = 2 2x = 6 x =3.

Step-by-step explanation:

First it is necessary to perform the operations indicated in the parentheses.

Next, we will pass the terms with literal to the right side of the equation, and the constant terms to the left side. Remember that when changing side of equality, they change sign.

Now we will perform the indicated addition and subtraction operations

About charlie's equation

We can see that Charlie's solution is not correct. You had an error in a sign that affects the entire equation.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

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step-by-step explanation: