.8x+.18-.4x=.3(x+.2)

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Solution for .8x+.18-.4x=.3(x+.2) equation: 


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

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

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

Reorder the terms:
0.18 + 0.4x = 0.3(0.2 + x)
0.18 + 0.4x = (0.2 * 0.3 + x * 0.3)
0.18 + 0.4x = (0.06 + 0.3x)

Solving
0.18 + 0.4x = 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.
0.18 + 0.4x + -0.3x = 0.06 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
0.18 + 0.1x = 0.06 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.18 + 0.1x = 0.06 + 0.0
0.18 + 0.1x = 0.06

Add '-0.18' to each side of the equation.
0.18 + -0.18 + 0.1x = 0.06 + -0.18

Combine like terms: 0.18 + -0.18 = 0.00
0.00 + 0.1x = 0.06 + -0.18
0.1x = 0.06 + -0.18

Combine like terms: 0.06 + -0.18 = -0.12
0.1x = -0.12

Divide each side by '0.1'.
x = -1.2

Simplifying
x = -1.2

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