3x − 2(6 − x) = 7x + 2(5 + x) − 6

x = -4

Step-by-step explanation:

3x -2(6-x) = 7x +2(5+x) -6

Distribute -2 through the parentheses 3x -12 +2x = 7x +2(5+x) -6

Distribute 2 through the parentheses 3x -12 +2x = 7x +10 +2x -6

3x -12 +2x = 7x +10 +2x -6 cancel equal terms on both sides of the equation

3x -12 = 7x +10 -6 subtract the numbers 3x -12 = 7x +4

                           Move variable to the left left handed side and change its sign

3x -7x-12 = 4   -->   3x -7x = 4 + 12  -->  -4x = 4+12  --> -4x = 16

             Divide both sides of the equation by -4  -->  x = -4

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step-by-step explanation:

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.