Answer:
x = 86.
Step-by-step explanation:
Solve for x:
1.2 x - 7 = 1.3 (x - 12)
Expand out terms of the right hand side:
1.2 x - 7 = 1.3 x - 15.6
Subtract 1.3 x from both sides:
(1.2 x - 1.3 x) - 7 = (1.3 x - 1.3 x) - 15.6
1.2 x - 1.3 x = -0.1 x:
-0.1 x - 7 = (1.3 x - 1.3 x) - 15.6
1.3 x - 1.3 x = 0:
-0.1 x - 7 = -15.6
Add 7 to both sides:
(7 - 7) - 0.1 x = 7 - 15.6
7 - 7 = 0:
-0.1 x = 7 - 15.6
7 - 15.6 = -8.6:
-0.1 x = -8.6
Divide both sides of -0.1 x = -8.6 by -0.1:
(-0.1 x)/(-0.1) = (-8.6)/(-0.1)
(-0.1)/(-0.1) = 1:
x = (-8.6)/(-0.1)
(-8.6)/(-0.1) = 86.:
Answer: x = 86.
