1.2x-7=1.3 (x-12) how do you solve this equation

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.