1.2(x-8)+2.4(x+1)=7.2

Solution for 1.2(x-8)+2.4(x+1)=7.2 equation:

Simplifying
1.2(x + -8) + 2.4(x + 1) = 7.2

Reorder the terms:
1.2(-8 + x) + 2.4(x + 1) = 7.2
(-8 * 1.2 + x * 1.2) + 2.4(x + 1) = 7.2
(-9.6 + 1.2x) + 2.4(x + 1) = 7.2

Reorder the terms:
-9.6 + 1.2x + 2.4(1 + x) = 7.2
-9.6 + 1.2x + (1 * 2.4 + x * 2.4) = 7.2
-9.6 + 1.2x + (2.4 + 2.4x) = 7.2

Reorder the terms:
-9.6 + 2.4 + 1.2x + 2.4x = 7.2

Combine like terms: -9.6 + 2.4 = -7.2
-7.2 + 1.2x + 2.4x = 7.2

Combine like terms: 1.2x + 2.4x = 3.6x
-7.2 + 3.6x = 7.2

Solving
-7.2 + 3.6x = 7.2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 3.6x = 7.2 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 3.6x = 7.2 + 7.2
3.6x = 7.2 + 7.2

Combine like terms: 7.2 + 7.2 = 14.4
3.6x = 14.4

Divide each side by '3.6'.
x = 4

Simplifying
x = 4