0.5(x+2)=0.9x+0.2

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Solution for 0.5(x+2)=0.9x+0.2 equation: 


Simplifying
0.5(x + 2) = 0.9x + 0.2

Reorder the terms:
0.5(2 + x) = 0.9x + 0.2
(2 * 0.5 + x * 0.5) = 0.9x + 0.2
(1 + 0.5x) = 0.9x + 0.2

Reorder the terms:
1 + 0.5x = 0.2 + 0.9x

Solving
1 + 0.5x = 0.2 + 0.9x

Solving for variable 'x'.

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

Add '-0.9x' to each side of the equation.
1 + 0.5x + -0.9x = 0.2 + 0.9x + -0.9x

Combine like terms: 0.5x + -0.9x = -0.4x
1 + -0.4x = 0.2 + 0.9x + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
1 + -0.4x = 0.2 + 0.0
1 + -0.4x = 0.2

Add '-1' to each side of the equation.
1 + -1 + -0.4x = 0.2 + -1

Combine like terms: 1 + -1 = 0
0 + -0.4x = 0.2 + -1
-0.4x = 0.2 + -1

Combine like terms: 0.2 + -1 = -0.8
-0.4x = -0.8

Divide each side by '-0.4'.
x = 2

Simplifying
x = 2

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