What is the answer to (x(x-3))/2-((x-4)(x-7))/2 =22 ?

The answer to (x(x-3))/2-((x-4)(x-7))/2 =22 is x=9

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(x(x-3))/2-((x-4)(x-7))/2 =22

\frac{x ( x - 3 )}{2} - \frac{( x - 4 ) ( x - 7 )}{2} = 22

x = 9

Solution steps

\frac{x ( x - 3 )}{2} - \frac{( x - 4 ) ( x - 7 )}{2} = 22

Multiply both sides by

2

x (x - 3) - (x - 4) (x - 7) = 44

Expand

x (x - 3) - (x - 4) (x - 7) : 8 x - 28

8 x - 28 = 44

Move

28

to the right side

8 x = 72

Divide both sides by

8

x = 9

3 x + 10 = x - 2

\frac{30 - 3 x}{8} - x - \frac{x}{2} = 0

p = 1.25 + 0.15 \cdot 75

p = 1.25 + 0.15 \cdot 24

p = 1.25 + 0.15 \cdot 20

What is the answer to (x(x-3))/2-((x-4)(x-7))/2 =22 ?
The answer to (x(x-3))/2-((x-4)(x-7))/2 =22 is x=9
Solve for x: (x(x-3))/2-((x-4)(x-7))/2 =22
The solution is x=9