-1.5(x+3.2)+5=3x-8.8

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Solution for -1.5(x+3.2)+5=3x-8.8 equation: 


Simplifying
-1.5(x + 3.2) + 5 = 3x + -8.8

Reorder the terms:
-1.5(3.2 + x) + 5 = 3x + -8.8
(3.2 * -1.5 + x * -1.5) + 5 = 3x + -8.8
(-4.8 + -1.5x) + 5 = 3x + -8.8

Reorder the terms:
-4.8 + 5 + -1.5x = 3x + -8.8

Combine like terms: -4.8 + 5 = 0.2
0.2 + -1.5x = 3x + -8.8

Reorder the terms:
0.2 + -1.5x = -8.8 + 3x

Solving
0.2 + -1.5x = -8.8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0.2 + -1.5x + -3x = -8.8 + 3x + -3x

Combine like terms: -1.5x + -3x = -4.5x
0.2 + -4.5x = -8.8 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.2 + -4.5x = -8.8 + 0
0.2 + -4.5x = -8.8

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -4.5x = -8.8 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -4.5x = -8.8 + -0.2
-4.5x = -8.8 + -0.2

Combine like terms: -8.8 + -0.2 = -9
-4.5x = -9

Divide each side by '-4.5'.
x = 2

Simplifying
x = 2

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