Question

2(x-2) - 3(x-3) = 5(x-5) Please help solve the equation

Answer 1

Answer:

2(x-2) - 3(x-3) = 5(x-5)

2x - 4 - 3x + 9 = 5x -25

-x +5 = 5x - 25

-x - 5x = -25 -5

-4x = -20

x = -20/-4

x = 5

Answer 2

$\huge\red{ꫝꫀꪶꪶꪮ}$

Simplify both sides of the equation.

2(x−2)−3(x−3)=5(x−5)

(2)(x)+(2)(−2)+(−3)(x)+(−3)(−3)=(5)(x)+(5)(−5)(Distribute)

2x+−4+−3x+9=5x+−25

(2x+−3x)+(−4+9)=5x−25(Combine Like Terms)

−x+5=5x−25

−x+5=5x−25

Step 2: Subtract 5x from both sides.

−x+5−5x=5x−25−5x

−6x+5=−25

Step 3: Subtract 5 from both sides.

−6x+5−5=−25−5

−6x=−30

Step 4: Divide both sides by -6.

$= \frac{ - 6x}{-6} = \frac{ - 30}{ - 6} \\ x = 5$