Answer:
x=3 one solution
Step-by-step explanation:
Let's solve your equation step-by-step.
−6x+19=x−2
Step 1: Subtract x from both sides.
−6x+19−x=x−2−x
−7x+19=−2
Step 2: Subtract 19 from both sides.
−7x+19−19=−2−19
−7x=−21
Step 3: Divide both sides by -7.
−7x /−7 = −21 /−7
x=3
Answer:
x = 3
Step-by-step explanation:
Solve -6x + 19 = x-2
Solve for x:
19 - 6 x = x - 2
Subtract x from both sides:
19 + (-6 x - x) = (x - x) - 2
-6 x - x = -7 x:
-7 x + 19 = (x - x) - 2
x - x = 0:
19 - 7 x = -2
Subtract 19 from both sides:
(19 - 19) - 7 x = -19 - 2
19 - 19 = 0:
-7 x = -19 - 2
-19 - 2 = -21:
-7 x = -21
Divide both sides of -7 x = -21 by -7:
(-7 x)/(-7) = (-21)/(-7)
(-7)/(-7) = 1:
x = (-21)/(-7)
The gcd of -21 and -7 is -7, so (-21)/(-7) = (-7×3)/(-7×1) = (-7)/(-7)×3 = 3:
Answer: x = 3
