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

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


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

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

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

Solving
-5.4 + 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.
-5.4 + 3.72x + -3.6x = -7.8 + 3.6x + -3.6x

Combine like terms: 3.72x + -3.6x = 0.12x
-5.4 + 0.12x = -7.8 + 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
-5.4 + 0.12x = -7.8 + 0.0
-5.4 + 0.12x = -7.8

Add '5.4' to each side of the equation.
-5.4 + 5.4 + 0.12x = -7.8 + 5.4

Combine like terms: -5.4 + 5.4 = 0.0
0.0 + 0.12x = -7.8 + 5.4
0.12x = -7.8 + 5.4

Combine like terms: -7.8 + 5.4 = -2.4
0.12x = -2.4

Divide each side by '0.12'.
x = -20

Simplifying
x = -20

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