Answer: x = 21
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x−2=6+10(x−5)
8x+−2=6+(10)(x)+(10)(−5)(Distribute)
8x+−2=6+10x+−50
8x−2=(10x)+(6+−50)(Combine Like Terms)
8x−2=10x+−44
8x−2=10x−44
Step 2: Subtract 10x from both sides.
8x−2−10x=10x−44−10x
−2x−2=−44
Step 3: Add 2 to both sides.
−2x−2+2=−44+2
−2x=−42
Step 4: Divide both sides by -2.
−2x / -2 = -42 / -2
x=21
Answer:
x = 21
8x - 2 = 6 + 10(x - 5)
Step 1: Distribute the right side of the equation ("6 + 10(x - 5)") so it'll be easier to find x.
8x - 2 = 6 + 10x - 50
8x - 2 = 10x - 44
Step 2: Subtract 8x from both sides
-8x -8x
-2 = 2x - 44
Step 3: Add 44 to both sides to get 2x alone.
+44 +44
42 = 2x
Step 4: Divide both sides by 2 to get x alone
2 2
