4.2(x-2)=1.1(2-x)

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Solution for 4.2(x-2)=1.1(2-x) equation: 


Simplifying
4.2(x + -2) = 1.1(2 + -1x)

Reorder the terms:
4.2(-2 + x) = 1.1(2 + -1x)
(-2 * 4.2 + x * 4.2) = 1.1(2 + -1x)
(-8.4 + 4.2x) = 1.1(2 + -1x)
-8.4 + 4.2x = (2 * 1.1 + -1x * 1.1)
-8.4 + 4.2x = (2.2 + -1.1x)

Solving
-8.4 + 4.2x = 2.2 + -1.1x

Solving for variable 'x'.

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

Add '1.1x' to each side of the equation.
-8.4 + 4.2x + 1.1x = 2.2 + -1.1x + 1.1x

Combine like terms: 4.2x + 1.1x = 5.3x
-8.4 + 5.3x = 2.2 + -1.1x + 1.1x

Combine like terms: -1.1x + 1.1x = 0.0
-8.4 + 5.3x = 2.2 + 0.0
-8.4 + 5.3x = 2.2

Add '8.4' to each side of the equation.
-8.4 + 8.4 + 5.3x = 2.2 + 8.4

Combine like terms: -8.4 + 8.4 = 0.0
0.0 + 5.3x = 2.2 + 8.4
5.3x = 2.2 + 8.4

Combine like terms: 2.2 + 8.4 = 10.6
5.3x = 10.6

Divide each side by '5.3'.
x = 2

Simplifying
x = 2

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