Question

(ii) 2(3 – 2) - 3(x – 3) = 5(x – 5)​

Answer 1

Let's solve your equation step-by-step.

2(3−2)−3(x−3)=5(x−5)

Step 1: Simplify both sides of the equation.

2(3−2)−3(x−3)=5(x−5)

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

2+−3x+9=5x+−25

(−3x)+(2+9)=5x−25(Combine Like Terms)

−3x+11=5x−25

−3x+11=5x−25

Step 2: Subtract 5x from both sides.

−3x+11−5x=5x−25−5x

−8x+11=−25

Step 3: Subtract 11 from both sides.

−8x+11−11=−25−11

−8x=−36

Step 4: Divide both sides by -8.

$\frac{ - 8x}{ - 8} = \geqslant \frac{ - 36}{ - 8} \\ x = = \geqslant \frac{9}{2}$