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!!!! : )
