(0.5x+1.2)-(3.6-4.5x)=(4.8-0.3x)+(10.5+0.6)

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Solution for (0.5x+1.2)-(3.6-4.5x)=(4.8-0.3x)+(10.5+0.6) equation: 


Simplifying
(0.5x + 1.2) + -1(3.6 + -4.5x) = (4.8 + -0.3x) + (10.5 + 0.6)

Reorder the terms:
(1.2 + 0.5x) + -1(3.6 + -4.5x) = (4.8 + -0.3x) + (10.5 + 0.6)

Remove parenthesis around (1.2 + 0.5x)
1.2 + 0.5x + -1(3.6 + -4.5x) = (4.8 + -0.3x) + (10.5 + 0.6)
1.2 + 0.5x + (3.6 * -1 + -4.5x * -1) = (4.8 + -0.3x) + (10.5 + 0.6)
1.2 + 0.5x + (-3.6 + 4.5x) = (4.8 + -0.3x) + (10.5 + 0.6)

Reorder the terms:
1.2 + -3.6 + 0.5x + 4.5x = (4.8 + -0.3x) + (10.5 + 0.6)

Combine like terms: 1.2 + -3.6 = -2.4
-2.4 + 0.5x + 4.5x = (4.8 + -0.3x) + (10.5 + 0.6)

Combine like terms: 0.5x + 4.5x = 5x
-2.4 + 5x = (4.8 + -0.3x) + (10.5 + 0.6)

Remove parenthesis around (4.8 + -0.3x)
-2.4 + 5x = 4.8 + -0.3x + (10.5 + 0.6)

Combine like terms: 10.5 + 0.6 = 11.1
-2.4 + 5x = 4.8 + -0.3x + (11.1)
-2.4 + 5x = 4.8 + -0.3x + 11.1

Reorder the terms:
-2.4 + 5x = 4.8 + 11.1 + -0.3x

Combine like terms: 4.8 + 11.1 = 15.9
-2.4 + 5x = 15.9 + -0.3x

Solving
-2.4 + 5x = 15.9 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-2.4 + 5x + 0.3x = 15.9 + -0.3x + 0.3x

Combine like terms: 5x + 0.3x = 5.3x
-2.4 + 5.3x = 15.9 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-2.4 + 5.3x = 15.9 + 0.0
-2.4 + 5.3x = 15.9

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 5.3x = 15.9 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 5.3x = 15.9 + 2.4
5.3x = 15.9 + 2.4

Combine like terms: 15.9 + 2.4 = 18.3
5.3x = 18.3

Divide each side by '5.3'.
x = 3.452830189

Simplifying
x = 3.452830189

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