Answer: x = 5
Explanation:
Step 1: Simplify both sides of the equation.
7 − 8(x − 3) = x − 14
7 + (−8)(x) + (−8)(−3) = x + − 14 (Distribute)
7+ (−8x) + 24 = x + (−14)
(−8x) + (7+24) = x − 14 (Combine Like Terms)
−8x + 31 = x − 14
−8x + 31 = x − 14
Step 2: Subtract x from both sides.
−8x + 31 − x = x − 14 − x
−9x + 31 = −14
Step 3: Subtract 31 from both sides.
−9x + 31 − 31 = −14 − 31
−9x = −45
Step 4: Divide both sides by -9.
−9x/−9 = −45/−9
x = 5