1.2(3.1x-4.5)+8.9=3.6x-7.8

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Solution for 1.2(3.1x-4.5)+8.9=3.6x-7.8 equation: 


Simplifying
1.2(3.1x + -4.5) + 8.9 = 3.6x + -7.8

Reorder the terms:
1.2(-4.5 + 3.1x) + 8.9 = 3.6x + -7.8
(-4.5 * 1.2 + 3.1x * 1.2) + 8.9 = 3.6x + -7.8
(-5.4 + 3.72x) + 8.9 = 3.6x + -7.8

Reorder the terms:
-5.4 + 8.9 + 3.72x = 3.6x + -7.8

Combine like terms: -5.4 + 8.9 = 3.5
3.5 + 3.72x = 3.6x + -7.8

Reorder the terms:
3.5 + 3.72x = -7.8 + 3.6x

Solving
3.5 + 3.72x = -7.8 + 3.6x

Solving for variable 'x'.

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

Add '-3.6x' to each side of the equation.
3.5 + 3.72x + -3.6x = -7.8 + 3.6x + -3.6x

Combine like terms: 3.72x + -3.6x = 0.12x
3.5 + 0.12x = -7.8 + 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
3.5 + 0.12x = -7.8 + 0.0
3.5 + 0.12x = -7.8

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.12x = -7.8 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.12x = -7.8 + -3.5
0.12x = -7.8 + -3.5

Combine like terms: -7.8 + -3.5 = -11.3
0.12x = -11.3

Divide each side by '0.12'.
x = -94.16666667

Simplifying
x = -94.16666667

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