0.9x-2.1+.9=.2(5-x)

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Solution for 0.9x-2.1+.9=.2(5-x) equation: 


Simplifying
0.9x + -2.1 + 0.9 = 0.2(5 + -1x)

Reorder the terms:
-2.1 + 0.9 + 0.9x = 0.2(5 + -1x)

Combine like terms: -2.1 + 0.9 = -1.2
-1.2 + 0.9x = 0.2(5 + -1x)
-1.2 + 0.9x = (5 * 0.2 + -1x * 0.2)
-1.2 + 0.9x = (1 + -0.2x)

Solving
-1.2 + 0.9x = 1 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-1.2 + 0.9x + 0.2x = 1 + -0.2x + 0.2x

Combine like terms: 0.9x + 0.2x = 1.1x
-1.2 + 1.1x = 1 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-1.2 + 1.1x = 1 + 0.0
-1.2 + 1.1x = 1

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 1.1x = 1 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 1.1x = 1 + 1.2
1.1x = 1 + 1.2

Combine like terms: 1 + 1.2 = 2.2
1.1x = 2.2

Divide each side by '1.1'.
x = 2

Simplifying
x = 2

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