0.2(-3.1x-2)=-1.1(2x-3)

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Solution for 0.2(-3.1x-2)=-1.1(2x-3) equation: 


Simplifying
0.2(-3.1x + -2) = -1.1(2x + -3)

Reorder the terms:
0.2(-2 + -3.1x) = -1.1(2x + -3)
(-2 * 0.2 + -3.1x * 0.2) = -1.1(2x + -3)
(-0.4 + -0.62x) = -1.1(2x + -3)

Reorder the terms:
-0.4 + -0.62x = -1.1(-3 + 2x)
-0.4 + -0.62x = (-3 * -1.1 + 2x * -1.1)
-0.4 + -0.62x = (3.3 + -2.2x)

Solving
-0.4 + -0.62x = 3.3 + -2.2x

Solving for variable 'x'.

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

Add '2.2x' to each side of the equation.
-0.4 + -0.62x + 2.2x = 3.3 + -2.2x + 2.2x

Combine like terms: -0.62x + 2.2x = 1.58x
-0.4 + 1.58x = 3.3 + -2.2x + 2.2x

Combine like terms: -2.2x + 2.2x = 0.0
-0.4 + 1.58x = 3.3 + 0.0
-0.4 + 1.58x = 3.3

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 1.58x = 3.3 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 1.58x = 3.3 + 0.4
1.58x = 3.3 + 0.4

Combine like terms: 3.3 + 0.4 = 3.7
1.58x = 3.7

Divide each side by '1.58'.
x = 2.341772152

Simplifying
x = 2.341772152

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