.12-.4(x+1)+x=.5x+2

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Solution for .12-.4(x+1)+x=.5x+2 equation: 


Simplifying
0.12 + -0.4(x + 1) + x = 0.5x + 2

Reorder the terms:
0.12 + -0.4(1 + x) + x = 0.5x + 2
0.12 + (1 * -0.4 + x * -0.4) + x = 0.5x + 2
0.12 + (-0.4 + -0.4x) + x = 0.5x + 2

Combine like terms: 0.12 + -0.4 = -0.28
-0.28 + -0.4x + x = 0.5x + 2

Combine like terms: -0.4x + x = 0.6x
-0.28 + 0.6x = 0.5x + 2

Reorder the terms:
-0.28 + 0.6x = 2 + 0.5x

Solving
-0.28 + 0.6x = 2 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-0.28 + 0.6x + -0.5x = 2 + 0.5x + -0.5x

Combine like terms: 0.6x + -0.5x = 0.1x
-0.28 + 0.1x = 2 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.28 + 0.1x = 2 + 0.0
-0.28 + 0.1x = 2

Add '0.28' to each side of the equation.
-0.28 + 0.28 + 0.1x = 2 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + 0.1x = 2 + 0.28
0.1x = 2 + 0.28

Combine like terms: 2 + 0.28 = 2.28
0.1x = 2.28

Divide each side by '0.1'.
x = 22.8

Simplifying
x = 22.8

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