1.2[x-8]+2.4[x+1]=7.2

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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

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