Question

-6f + 13 = 2f - 11

Answer 1

\[-6f + 13 = 2f - 11\]
\[13 = 2f - 11 + 6f\]
\[13 + 11 = 2f + 6f\]
\[24 = 8f\]
\[24/8 = f\]
\[3 = f\]
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Answer 2

^^ is correct

Answer 3

The problem to solve is:
-6f + 13 = 2f - 11

First, let's work on the left hand side of your equation, the -6f + 13
This means, for instance, to see if it can be simplified at all.
Multiply f and 6
Multiply f and 1


The f just gets copied along.

The answer is f

f

6*f evaluates to 6f

Because of the minus sign

6f becomes - 6f

The answer is -6f

-6*f+13 evaluates to -6f+13

So, all-in-all, the left hand side of your equation can be written as: -6f+13

Now, let's work on the right hand side of your equation, the 2f - 11
Multiply f and 2
Multiply f and 1


The f just gets copied along.

The answer is f

f

2*f evaluates to 2f

2*f-11 evaluates to 2f-11

The right hand side of your equation can be written as: 2f-11

So with these (any) simplifications, the equation we'll set out to solve is:
-6f+13 = 2f-11

Move the 13 to the right hand side by subtracting 13 from both sides, like this:
From the left hand side:
13 - 13 = 0

The answer is -6f

From the right hand side:
-11 - 13 = -24

The answer is -24+2f


Now, the equation reads:
-6f = -24+2f

Move the 2f to the left hand side by subtracting 2f from both sides, like this:
From the left hand side:
-6f - 2f = -8f

The answer is -8f

From the right hand side:
2f - 2f = 0

The answer is -24


Now, the equation reads:
-8f = -24
To isolate the f, we have to divide both sides of the equation by the other variables
around the f on the left side of the equation.

The last step is to divide both sides of the equation by -8 like this:
To divide f by 1


The f just gets copied along in the numerator.

The answer is f

-8f ÷ -8 = f


-24 ÷ -8 = 3

The solution to your equation is:
f = 3

Answer 4

the most simplest process