.3x+1.8=.4(x+5)+.2

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Solution for .3x+1.8=.4(x+5)+.2 equation: 


Simplifying
0.3x + 1.8 = 0.4(x + 5) + 0.2

Reorder the terms:
1.8 + 0.3x = 0.4(x + 5) + 0.2

Reorder the terms:
1.8 + 0.3x = 0.4(5 + x) + 0.2
1.8 + 0.3x = (5 * 0.4 + x * 0.4) + 0.2
1.8 + 0.3x = (2 + 0.4x) + 0.2

Reorder the terms:
1.8 + 0.3x = 2 + 0.2 + 0.4x

Combine like terms: 2 + 0.2 = 2.2
1.8 + 0.3x = 2.2 + 0.4x

Solving
1.8 + 0.3x = 2.2 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
1.8 + 0.3x + -0.4x = 2.2 + 0.4x + -0.4x

Combine like terms: 0.3x + -0.4x = -0.1x
1.8 + -0.1x = 2.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
1.8 + -0.1x = 2.2 + 0.0
1.8 + -0.1x = 2.2

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.1x = 2.2 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.1x = 2.2 + -1.8
-0.1x = 2.2 + -1.8

Combine like terms: 2.2 + -1.8 = 0.4
-0.1x = 0.4

Divide each side by '-0.1'.
x = -4

Simplifying
x = -4

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