(.5x+1.2)-(3.6-4.5x)=(4.8-0.3x)+(10.5x+.6)

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Solution for (.5x+1.2)-(3.6-4.5x)=(4.8-0.3x)+(10.5x+.6) equation: 


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

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

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

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

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

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

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

Reorder the terms:
-2.4 + 5x = 4.8 + -0.3x + (0.6 + 10.5x)

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

Reorder the terms:
-2.4 + 5x = 4.8 + 0.6 + -0.3x + 10.5x

Combine like terms: 4.8 + 0.6 = 5.4
-2.4 + 5x = 5.4 + -0.3x + 10.5x

Combine like terms: -0.3x + 10.5x = 10.2x
-2.4 + 5x = 5.4 + 10.2x

Solving
-2.4 + 5x = 5.4 + 10.2x

Solving for variable 'x'.

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

Add '-10.2x' to each side of the equation.
-2.4 + 5x + -10.2x = 5.4 + 10.2x + -10.2x

Combine like terms: 5x + -10.2x = -5.2x
-2.4 + -5.2x = 5.4 + 10.2x + -10.2x

Combine like terms: 10.2x + -10.2x = 0.0
-2.4 + -5.2x = 5.4 + 0.0
-2.4 + -5.2x = 5.4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + -5.2x = 5.4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + -5.2x = 5.4 + 2.4
-5.2x = 5.4 + 2.4

Combine like terms: 5.4 + 2.4 = 7.8
-5.2x = 7.8

Divide each side by '-5.2'.
x = -1.5

Simplifying
x = -1.5

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