Solve for x:
0.1 x+6 = 0.15 x+8
Move terms with x to the left hand side.
Subtract 0.15 x from both sides:
(0.1 x-0.15 x)+6 = (0.15 x-0.15 x)+8
Combine like terms in 0.1 x-0.15 x.
0.1 x-0.15 x = -0.05 x:
-0.05 x+6 = (0.15 x-0.15 x)+8
Look for two terms that sum to zero.
0.15 x-0.15 x = 0:
6-0.05 x = 8
Isolate terms with x to the left hand side.
Subtract 6 from both sides:
(6-6)-0.05 x = 8-6
Look for two terms that sum to zero.
6-6 = 0:
-0.05 x = 8-6
Evaluate 8-6.
8-6 = 2:
-0.05 x = 2
Divide both sides by a constant to simplify the equation.
Divide both sides of -0.05 x = 2 by -0.05:
(-0.05 x)/(-0.05) = 2/(-0.05)
Any nonzero number divided by itself is one.
(-0.05)/(-0.05) = 1:
x = 2/(-0.05)
Express 2/(-0.05) in decimal form.
2/(-0.05) = -40.:
Answer: |
| x = -40.
