0.8x+0.18-0.4=0.3(x+0.2)

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Solution for 0.8x+0.18-0.4=0.3(x+0.2) equation: 


Simplifying
0.8x + 0.18 + -0.4 = 0.3(x + 0.2)

Reorder the terms:
0.18 + -0.4 + 0.8x = 0.3(x + 0.2)

Combine like terms: 0.18 + -0.4 = -0.22
-0.22 + 0.8x = 0.3(x + 0.2)

Reorder the terms:
-0.22 + 0.8x = 0.3(0.2 + x)
-0.22 + 0.8x = (0.2 * 0.3 + x * 0.3)
-0.22 + 0.8x = (0.06 + 0.3x)

Solving
-0.22 + 0.8x = 0.06 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
-0.22 + 0.8x + -0.3x = 0.06 + 0.3x + -0.3x

Combine like terms: 0.8x + -0.3x = 0.5x
-0.22 + 0.5x = 0.06 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.22 + 0.5x = 0.06 + 0.0
-0.22 + 0.5x = 0.06

Add '0.22' to each side of the equation.
-0.22 + 0.22 + 0.5x = 0.06 + 0.22

Combine like terms: -0.22 + 0.22 = 0.00
0.00 + 0.5x = 0.06 + 0.22
0.5x = 0.06 + 0.22

Combine like terms: 0.06 + 0.22 = 0.28
0.5x = 0.28

Divide each side by '0.5'.
x = 0.56

Simplifying
x = 0.56

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