What is the answer to (x(x-1))/2-((x-4)(x-6))/2 =33 ?

The answer to (x(x-1))/2-((x-4)(x-6))/2 =33 is x=10

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(x(x-1))/2-((x-4)(x-6))/2 =33

\frac{x ( x - 1 )}{2} - \frac{( x - 4 ) ( x - 6 )}{2} = 33

x = 10

Solution steps

\frac{x ( x - 1 )}{2} - \frac{( x - 4 ) ( x - 6 )}{2} = 33

Multiply both sides by

2

x (x - 1) - (x - 4) (x - 6) = 66

Expand

x (x - 1) - (x - 4) (x - 6) : 9 x - 24

9 x - 24 = 66

Move

24

to the right side

9 x = 90

Divide both sides by

9

x = 10

7 + 5 (x - 2) = 12

x, x + 8 y = 2

x, - 3 x + y + 6 = 0

\frac{1}{3} x + 1 = x - \frac{1}{5}

17 s - 12 = 20 s

What is the answer to (x(x-1))/2-((x-4)(x-6))/2 =33 ?
The answer to (x(x-1))/2-((x-4)(x-6))/2 =33 is x=10
Solve for x: (x(x-1))/2-((x-4)(x-6))/2 =33
The solution is x=10