Question

-10(10x-12)=-9(-9x-2)-5

Answer 1

10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181

Answer 2

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

−10(10x − 12) = −9(−9x−2) − 5

Step 1: Simplify both sides of the equation:

−10(10x − 12) = −9(−9x−2) − 5

(−10)(10x) + (−10)(−12) = (−9)(−9x) + (−9)(−2) + −5 (Distribute):

−100x + 120 = 81x + 18 + −5

−100x + 120 = (81x) + (18 + −5) (Combine Like Terms):

−100x + 120 = 81x + 13

−100x + 120 = 81x + 13

Step 2: Subtract 81x from both sides.

−100x + 120 −81x = 81x + 13 − 81x

−181x + 120 = 13

Step 3: Subtract 120 from both sides.

−181x + 120 − 120 = 13 − 120

−181x = −107

Step 4: Divide both sides by -181.

−181x / - 181 = -107 / -181

x = 107 / 181 (Decimal: x = 0.59116....)

Answer: ===========> x = 107 / 181

Hope that helps!!!! : )