.3(x-.5)+.23x+.4=.2(x+.4)+.5

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Solution for .3(x-.5)+.23x+.4=.2(x+.4)+.5 equation: 


Simplifying
0.3(x + -0.5) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5

Reorder the terms:
0.3(-0.5 + x) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5
(-0.5 * 0.3 + x * 0.3) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5
(-0.15 + 0.3x) + 0.23x + 0.4 = 0.2(x + 0.4) + 0.5

Reorder the terms:
-0.15 + 0.4 + 0.3x + 0.23x = 0.2(x + 0.4) + 0.5

Combine like terms: -0.15 + 0.4 = 0.25
0.25 + 0.3x + 0.23x = 0.2(x + 0.4) + 0.5

Combine like terms: 0.3x + 0.23x = 0.53x
0.25 + 0.53x = 0.2(x + 0.4) + 0.5

Reorder the terms:
0.25 + 0.53x = 0.2(0.4 + x) + 0.5
0.25 + 0.53x = (0.4 * 0.2 + x * 0.2) + 0.5
0.25 + 0.53x = (0.08 + 0.2x) + 0.5

Reorder the terms:
0.25 + 0.53x = 0.08 + 0.5 + 0.2x

Combine like terms: 0.08 + 0.5 = 0.58
0.25 + 0.53x = 0.58 + 0.2x

Solving
0.25 + 0.53x = 0.58 + 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.
0.25 + 0.53x + -0.2x = 0.58 + 0.2x + -0.2x

Combine like terms: 0.53x + -0.2x = 0.33x
0.25 + 0.33x = 0.58 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.25 + 0.33x = 0.58 + 0.0
0.25 + 0.33x = 0.58

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 0.33x = 0.58 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.33x = 0.58 + -0.25
0.33x = 0.58 + -0.25

Combine like terms: 0.58 + -0.25 = 0.33
0.33x = 0.33

Divide each side by '0.33'.
x = 1

Simplifying
x = 1

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