Question

Solve for X
8x - 2 = 6 + 10(x - 5)

Answer 1

x = 21

Explanation:

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 - 2 = 10x - 44

-8x -8x

-2 = 2x - 44

Step 3: Add 44 to both sides to get 2x alone.

-2 = 2x - 44

+44 +44

42 = 2x

Step 4: Divide both sides by 2 to get x alone

42 = 2x

2 2

x = 21

Answer 2

Answer: x = 21

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