1.2x-6.6=3(.5x+.3)-5.4

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Solution for 1.2x-6.6=3(.5x+.3)-5.4 equation: 


Simplifying
1.2x + -6.6 = 3(0.5x + 0.3) + -5.4

Reorder the terms:
-6.6 + 1.2x = 3(0.5x + 0.3) + -5.4

Reorder the terms:
-6.6 + 1.2x = 3(0.3 + 0.5x) + -5.4
-6.6 + 1.2x = (0.3 * 3 + 0.5x * 3) + -5.4
-6.6 + 1.2x = (0.9 + 1.5x) + -5.4

Reorder the terms:
-6.6 + 1.2x = 0.9 + -5.4 + 1.5x

Combine like terms: 0.9 + -5.4 = -4.5
-6.6 + 1.2x = -4.5 + 1.5x

Solving
-6.6 + 1.2x = -4.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-6.6 + 1.2x + -1.5x = -4.5 + 1.5x + -1.5x

Combine like terms: 1.2x + -1.5x = -0.3x
-6.6 + -0.3x = -4.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-6.6 + -0.3x = -4.5 + 0.0
-6.6 + -0.3x = -4.5

Add '6.6' to each side of the equation.
-6.6 + 6.6 + -0.3x = -4.5 + 6.6

Combine like terms: -6.6 + 6.6 = 0.0
0.0 + -0.3x = -4.5 + 6.6
-0.3x = -4.5 + 6.6

Combine like terms: -4.5 + 6.6 = 2.1
-0.3x = 2.1

Divide each side by '-0.3'.
x = -7

Simplifying
x = -7

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